13108322304 has 336 divisors, whose sum is σ = 47230223040. Its totient is φ = 3403284480.

The previous prime is 13108322287. The next prime is 13108322347. The reversal of 13108322304 is 40322380131.

13108322304 is a `hidden beast` number, since 1 + 31 + 0 + 8 + 322 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×13108322304² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5675902 + ... + 5678210.

It is an arithmetic number, because the mean of its divisors is an integer number (140566140).

Almost surely, 2^13108322304 is an apocalyptic number.

13108322304 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 13108322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23615111520).

13108322304 is an abundant number, since it is smaller than the sum of its proper divisors (34121900736).

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

13108322304 is a wasteful number, since it uses less digits than its factorization.

13108322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13108322304 in words is "thirteen billion, one hundred eight million, three hundred twenty-two thousand, three hundred four".