Step 1 :Calculate the total cost of repainting all 13 cabins: \(13 \times 503.69 = 6547.97\)
Step 2 :Subtract the total cost from the given budget: \(6700 - 6547.97 = 152.03\)
Step 3 :\(\boxed{152.03}\) is the amount of money left after repainting all the cabins