13129490433024 has 528 divisors, whose sum is σ = 43873151212800. Its totient is φ = 3704113594368.

The previous prime is 13129490433011. The next prime is 13129490433041. The reversal of 13129490433024 is 42033409492131.

13129490433024 is a `hidden beast` number, since 1 + 3 + 1 + 294 + 9 + 0 + 4 + 330 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6987487317 + ... + 6987489195.

Almost surely, 2^{13129490433024} is an apocalyptic number.

13129490433024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13129490433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936575606400).

13129490433024 is an abundant number, since it is smaller than the sum of its proper divisors (30743660779776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13129490433024 is a wasteful number, since it uses less digits than its factorization.

13129490433024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13129490433024 in words is "thirteen trillion, one hundred twenty-nine billion, four hundred ninety million, four hundred thirty-three thousand, twenty-four".