Alright, let's work through 2671 times 5003 step by step
2671 × 5003 = 5003 × (2671)
+ 5003 × 1 yielding 5003
+ 5003 × 70 producing 350210
+ 5003 × 600 that results in 3001800
+ 5003 × 2000 that is equal 10006000

= 13363013
