Intel Core i3 6100 's Advantages
Integrated graphics card
Higher base frequency (3.7GHz vs 3.4GHz)
Lower TDP (51W vs 58W)
Intel Core i3 13100F 's Advantages
Released 7 years and 4 months late
Higher specification of memory (DDR5-4800 vs DDR4-2133)
Larger memory bandwidth (76.8GB/s vs 34.1GB/s)
Newer PCIe version (5.0 vs 3.0)
Larger L3 cache size (12MB vs 3MB)
More modern manufacturing process (10nm vs 14nm)