Intel Core i5 7500 's Advantages
Lower TDP (65W vs 125W)
Intel Core i7 13700K 's Advantages
Released 5 years and 8 months late
Better graphics card performance
Higher specification of memory (DDR5-5600 vs DDR4-2400)
Larger memory bandwidth (89.6GB/s vs 35.76GB/s)
Newer PCIe version (5.0 vs 3.0)
Larger L3 cache size (30MB vs 6MB)
More modern manufacturing process (10nm vs 14nm)