13139531930304 has 1120 divisors, whose sum is σ = 43832429536896. Its totient is φ = 3866013204480.

The previous prime is 13139531930249. The next prime is 13139531930321. The reversal of 13139531930304 is 40303913593131.

13139531930304 is a `hidden beast` number, since 13 + 13 + 9 + 5 + 319 + 3 + 0 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13139531930304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38989708824 + ... + 38989709160.

Almost surely, 2^{13139531930304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13139531930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21916214768448).

13139531930304 is an abundant number, since it is smaller than the sum of its proper divisors (30692897606592).

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

13139531930304 is a wasteful number, since it uses less digits than its factorization.

13139531930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 13139531930304 in words is "thirteen trillion, one hundred thirty-nine billion, five hundred thirty-one million, nine hundred thirty thousand, three hundred four".