13008962304 has 216 divisors, whose sum is σ = 41257175232. Its totient is φ = 3917168640.

The previous prime is 13008962287. The next prime is 13008962327. The reversal of 13008962304 is 40326980031.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1403124 + ... + 1412364.

Almost surely, 2^13008962304 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 13008962304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20628587616).

13008962304 is an abundant number, since it is smaller than the sum of its proper divisors (28248212928).

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

13008962304 is a wasteful number, since it uses less digits than its factorization.

13008962304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13008962304 in words is "thirteen billion, eight million, nine hundred sixty-two thousand, three hundred four".