The number 1003003001 is the product of N (not necessarily distinct) primes. What is the value of N?

Answer 1

1331 = 11^3
1030301 = 101^3
1003003001 = 1001^3

1001 = 7*11*13

So, we have 7^3 * 11^3 * 13^3 or 9 primes