List of number-one international songs of 2013 (South Korea)

The international Gaon Digital Chart is a chart that ranks the best-performing international songs in South Korea. The data is collected by the Korea Music Content Association. Below is a list of songs that topped the weekly, monthly, and yearly charts, as according to the Gaon 국외 (Foreign) Digital Chart. The Digital Chart ranks songs according to their performance on the Gaon Streaming, Download, BGM, and Mobile charts.