diff --git a/compose/build.gradle.kts b/compose/build.gradle.kts
index 64cb7c9d9..af92af14f 100644
--- a/compose/build.gradle.kts
+++ b/compose/build.gradle.kts
@@ -94,9 +94,20 @@ subprojects {
         // IntelliJ refuses to sort imports correctly.
         // This is a known issue: https://github.com/pinterest/ktlint/issues/527
         "import-ordering",
-        // Ktlint doesn't know how to handle nullary annotations on function types, e.g.
-        // @Composable () -> Unit.
-        "paren-spacing"
+
+        // We had to disable the indent and parameter-list-wrapping rules, because they lead to
+        // false positives even in the most recent KtLint version. We created tickets:
+        //
+        // https://github.com/pinterest/ktlint/issues/963
+        // https://github.com/pinterest/ktlint/issues/964
+        // https://github.com/pinterest/ktlint/issues/965
+        //
+        // We can't revert the KtLint version, because they only work with Kotlin 1.3 and would
+        // block Kotlin 1.4. We rather have a newer Kotlin version than a proper indent. The
+        // indent rule needs to be disabled globally due to another bug:
+        // https://github.com/pinterest/ktlint/issues/967
+        "indent",
+        "parameter-list-wrapping"
       )
     )
   }
diff --git a/compose/buildSrc/src/main/java/Dependencies.kt b/compose/buildSrc/src/main/java/Dependencies.kt
index d75d85f1d..5094e8d59 100644
--- a/compose/buildSrc/src/main/java/Dependencies.kt
+++ b/compose/buildSrc/src/main/java/Dependencies.kt
@@ -30,7 +30,7 @@ object Versions {
 
 @Suppress("unused")
 object Dependencies {
-  const val android_gradle_plugin = "com.android.tools.build:gradle:7.0.0-alpha10"
+  const val android_gradle_plugin = "com.android.tools.build:gradle:7.1.0-alpha01"
 
   object AndroidX {
     const val appcompat = "androidx.appcompat:appcompat:1.3.0-beta01"
@@ -57,8 +57,8 @@ object Dependencies {
   }
 
   const val dokka = "org.jetbrains.dokka:dokka-gradle-plugin:0.10.0"
-  const val mavenPublish = "com.vanniktech:gradle-maven-publish-plugin:0.11.1"
-  const val ktlint = "org.jlleitschuh.gradle:ktlint-gradle:9.2.0"
+  const val mavenPublish = "com.vanniktech:gradle-maven-publish-plugin:0.13.0"
+  const val ktlint = "org.jlleitschuh.gradle:ktlint-gradle:10.0.0"
 
   object Test {
     object AndroidX {
diff --git a/compose/gradle/wrapper/gradle-wrapper.properties b/compose/gradle/wrapper/gradle-wrapper.properties
index 25d326531..3c4101c3e 100644
--- a/compose/gradle/wrapper/gradle-wrapper.properties
+++ b/compose/gradle/wrapper/gradle-wrapper.properties
@@ -1,5 +1,5 @@
 distributionBase=GRADLE_USER_HOME
 distributionPath=wrapper/dists
-distributionUrl=https\://services.gradle.org/distributions/gradle-6.8.2-all.zip
+distributionUrl=https\://services.gradle.org/distributions/gradle-7.0-all.zip
 zipStoreBase=GRADLE_USER_HOME
 zipStorePath=wrapper/dists
diff --git a/gradle/wrapper/gradle-wrapper.properties b/gradle/wrapper/gradle-wrapper.properties
index 1c4bcc29e..3c4101c3e 100644
--- a/gradle/wrapper/gradle-wrapper.properties
+++ b/gradle/wrapper/gradle-wrapper.properties
@@ -1,5 +1,5 @@
 distributionBase=GRADLE_USER_HOME
 distributionPath=wrapper/dists
-distributionUrl=https\://services.gradle.org/distributions/gradle-6.8.1-all.zip
+distributionUrl=https\://services.gradle.org/distributions/gradle-7.0-all.zip
 zipStoreBase=GRADLE_USER_HOME
 zipStorePath=wrapper/dists
diff --git a/versions.properties b/versions.properties
index 5e2c0fb78..6113f0448 100644
--- a/versions.properties
+++ b/versions.properties
@@ -37,7 +37,7 @@ version.junit.junit=4.13
 version.kotlin=1.5.0
 version.kotlinx.coroutines=1.4.2
 version.kotlinx.serialization=1.2.0
-version.me.champeau.gradle..jmh-gradle-plugin=0.5.1
+version.me.champeau.gradle..jmh-gradle-plugin=0.5.3
 version.moshi=1.12.0
 version.okio=2.7.0
 version.org.hamcrest..hamcrest-core=2.2
@@ -45,7 +45,7 @@ version.org.jetbrains..annotations=19.0.0
 version.org.jetbrains.dokka..dokka-gradle-plugin=1.4.32
 version.org.jetbrains.kotlin..kotlin-reflect=1.5.0
 version.org.jetbrains.kotlinx..binary-compatibility-validator=0.5.0
-version.org.jlleitschuh.gradle..ktlint-gradle=9.4.1
+version.org.jlleitschuh.gradle..ktlint-gradle=10.0.0
 version.org.openjdk.jmh..jmh-core=1.25.2
 version.org.openjdk.jmh..jmh-generator-annprocess=1.25.2
 version.radiography=2.3.0