Before launching any legacy installer, run the downloaded file through updated security software to ensure it is free from bundled malware or adware. How to Install iTunes 10.1.3.99 on Mac
If you are running a modern operating system (macOS Catalina, Big Sur, Monterey, Ventura, Sonoma, Sequoia, or later), you do not need to download iTunes at all. The features you are looking for are already built into your system utilities: Historical iTunes Feature Modern macOS Equivalent Utility
Disclaimer: Ensure you always download software from reputable sources to prevent security risks. While third-party sites like MacUpdate or Softonic are popular, Apple's direct support pages are the most secure.
Apple has officially discontinued iTunes on modern Macs (macOS Catalina and later), replacing it with the Music, Podcasts, and TV apps. However, if you are running an older Mac (e.g., macOS Snow Leopard, Lion, or Mountain Lion), iTunes 10.1.3 is a legitimate and useful download.