diff --git a/Formula/r/rune.rb b/Formula/r/rune.rb
index 4cd38f4c09ae7..3fa213f5d64d5 100644
--- a/Formula/r/rune.rb
+++ b/Formula/r/rune.rb
@@ -1,21 +1,19 @@
 class Rune < Formula
   desc "Embeddable dynamic programming language for Rust"
   homepage "https://rune-rs.github.io"
-  url "https://github.com/rune-rs/rune/archive/refs/tags/0.12.4.tar.gz"
-  sha256 "aa34ce91e2466e2d903d76c96e56cf01a82c689ea021b90c79df6dad96590454"
+  url "https://github.com/rune-rs/rune/archive/refs/tags/0.13.1.tar.gz"
+  sha256 "6916145178ec7dee6f1f9d5a555d15e406477f58904ed4a18df95739935cc668"
   license any_of: ["Apache-2.0", "MIT"]
   head "https://github.com/rune-rs/rune.git", branch: "main"
 
   bottle do
-    sha256 cellar: :any_skip_relocation, arm64_sonoma:   "fea0a790cf0848ab8929a1e4f2e3a4b3a1065c11ed4c79526919952da9279592"
-    sha256 cellar: :any_skip_relocation, arm64_ventura:  "90e13f897b15c3bbb9f17b1ef8c2d74b687f6df6b90d2af640d8a58de3bdbc37"
-    sha256 cellar: :any_skip_relocation, arm64_monterey: "47c444f14c575c73c918a27cbf68147fa4647cd740ccf0fcc438b5ef9c5c3285"
-    sha256 cellar: :any_skip_relocation, arm64_big_sur:  "1c6b284070b21d09deccc043db788db18756c4ab630fff7564f390baed1f6f99"
-    sha256 cellar: :any_skip_relocation, sonoma:         "ef15bdec61b0c75f95fc9377de1ec37d2ddb97505d8ecfd274645bedd7eeabdd"
-    sha256 cellar: :any_skip_relocation, ventura:        "7ab171a2edbdabe2c7f4a8f631d46afccec7896288c5315733a29ee7799b8264"
-    sha256 cellar: :any_skip_relocation, monterey:       "ff521d35ebccad285d44adbe035b91015101a3e33cf9423f92af01e1c13a40c1"
-    sha256 cellar: :any_skip_relocation, big_sur:        "cce90da9c198087768bc5f5e3c539e161ce1aa5c9d691569791ed5a850c5147e"
-    sha256 cellar: :any_skip_relocation, x86_64_linux:   "9e4369e6d3a6753db4393facaf77695909085ddb8791e8323048b7e51373cc22"
+    sha256 cellar: :any_skip_relocation, arm64_sonoma:   "53ab01895f09882efdc9b2479563c02575431012a71d4bd8cab30733e9214bbd"
+    sha256 cellar: :any_skip_relocation, arm64_ventura:  "8a81277a22b2275dd82453a7a96425158966b1e55911543ce18c9b21160f0dfe"
+    sha256 cellar: :any_skip_relocation, arm64_monterey: "f514c7a44aa58406c1667e054277fa7147e0188fa0d0aed3d20c64e8f9d1ed44"
+    sha256 cellar: :any_skip_relocation, sonoma:         "e137951e6609ff7fe2ac67dfc6172f1b57e40ae545e240e542a8d57da199ce00"
+    sha256 cellar: :any_skip_relocation, ventura:        "eca4ec10ebadf3155c228423eabee2b7223996b844e530f907cba04bf7823ff0"
+    sha256 cellar: :any_skip_relocation, monterey:       "49281e873c0d3693af6a2c893fa3588f88a90e7805f534c81b617c8fc3cb7b99"
+    sha256 cellar: :any_skip_relocation, x86_64_linux:   "28bf5f61a0efa8624634ad17b853bff67a08292690452ad1b82428824bb007c6"
   end
 
   depends_on "rust" => :build