how to update safari on mac desktop 10.13.6

To upgrade Safari beyond Safari 13.1.2 on a Mac running macOS 10.13.6, you would need to upgrade the OS.

The model year of an iMac is available at Apple menu > About This Mac.

A late 2009 through mid 2011 iMac can be upgraded to High Sierra 10.13.6 but no later version. See: How to download macOS - Apple Support

A late 2012 through late 2013 iMac can be upgraded to Catalina 10.15.7 but no later. See: How to download macOS - Apple Support

A mid 2014 and late 2014 iMac can be upgraded to the latest version of Big Sur macOS 11 but no later. See: How to download macOS - Apple Support

A late 2015 iMac can be upgraded to the latest version of Monterey macOS 12. See:How to download macOS - Apple Support

A 2017 or later iMac can be upgraded to the current version of Ventura macOS 13. See: How to upgrade to macOS Ventura - Apple Support

Be aware that if you upgrade to Catalina 10.15 or later you will also need to update any non-Apple 32-bit apps. See: https://www.macworld.com/article/232735/how-to-check-if-mac-software-is-32-or-64-bit.html

If you cannot or don't want to upgrade your Mac to macOS Monterey or later, for security reasons you should consider using a 3rd party browser such as Chrome or Firefox that support running their latest version with your macOS.

If you're using a version older than 13.1.2, check for updates in the Mac App Store. Otherwise, upgrade the computer's OS or use a different web browser as needed.

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