To calculate the product of the numbers \( 13 \times 25 \times 125 \times 32 \):

1. First, break it down step by step:
- \( 13 \times 25 = 325 \)
- \( 125 \times 32 = 4000 \)
- Then multiply the two results: \( 325 \times 4000 \)

2. Calculate \( 325 \times 4000 \):
- \( 325 \times 4000 = 1,300,000 \)

So, the final result is \( 1,300,000 \).