The B713 is a link road in East Ayrshire. The road was originally unclassified (indeed there were no Class II roads for some distance) but had gained its number by the late 1930s.
The road starts on the A76 and then descends to the northeast before crossing the Bogend Burn to enter Catrine. It runs along Newton Street before reaching a T-junction on the B705. That road's bridge over the River Ayr is just to the left but the B713 multiplexes to the right.
After climbing Townhead the B713 turns left to regain its number on the edge of open country. It climbs out of the valley and follows a straight road over a hill before descending again back into the same valley. The River Ayr is crossed on the edge of the village of Sorn and the B713 ends at a T-junction on the B743 on the far side.