Say, 175/60R13. If I were to change my tyres to different sizes (without compromising on safety and the need to change rims), what would it be?

IINM, R13 means 13' radius. So i would have to to stick to this, or i have to get new rims as well.
but what about the '175', would it be okay for to look for higher range, like 180, 185?

This post has been edited by 1tanmee: Jul 31 2016, 09:48 PM