13100775864 has 128 divisors (see below), whose sum is σ = 36594478080. Its totient is φ = 3874304000.

The previous prime is 13100775833. The next prime is 13100775893. The reversal of 13100775864 is 46857700131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4974292 + ... + 4976924.

It is an arithmetic number, because the mean of its divisors is an integer number (285894360).

Almost surely, 2^13100775864 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 13100775864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18297239040).

13100775864 is an abundant number, since it is smaller than the sum of its proper divisors (23493702216).

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

13100775864 is a wasteful number, since it uses less digits than its factorization.

13100775864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 13100775864 in words is "thirteen billion, one hundred million, seven hundred seventy-five thousand, eight hundred sixty-four".