A device gets CM nightlies once it's considered stable enough to be a daily driver, so you shouldn't have much stability issues on your device running CyanogenMod 10.1. Do keep in mind that some features of previous CM revisions are yet to be implemented into CM1o.1 but will soon be available in future nightly builds.
CyanogenMod 10.1 Supported Devices:
– Samsung Galaxy S GT-I9000
– Samsung Galaxy S GT-I9000B
– T-Mobile's Samsung Vibrant SGH-T959
– AT&T Samsung Captivate SGH- I897
– Samsung Galaxy S II GT-I9100
– Samsung Galaxy S II GT-I9100G
– AT&T Samsung Galaxy S II GT-I777
– Samsung Galaxy Note GT-N7000
– Samsung Galaxy S III GT-I9300
– AT&T Samsung Galaxy S III SGH-I747
– T-Mobile Samsung Galaxy S III SGH-T999
– US Cellular Samsung Galaxy S III SCH-R530
– Verizon Wireless Samsung Galaxy S III SCHI535
– Sprint Samsung Galaxy S III SPH-L710
– Samsung Galaxy Note II GT-N7100
– Samsung Galaxy Tab 2 7.0 (WiFi) GT-P3110
– Samsung Galaxy Tab 2 7.0 (GSM) GT-P3100
– Samsung Galaxy Tab 2 10.1 (WiFi) GT-p5110
– Samsung Galaxy Tab 2 10.1 (GSM) GT-p5100
(Source: get.cm)
