yes 13 will fit goto shoba any tyre shop ask for Corolla 13 size use tyre & rims for test run. when you change leave your wheel set with an attendent and go for test drive if it suits your requirement make a deal for wheels rims only and go for new tyres.
if it does not suits your requirement get your stuff back and return the 13 size set with a service fee. 500 for testing 4 wheels will make the shopkeeper smile wide
does it make sense??