113013364568832 has 720 divisors, whose sum is σ = 414863446136832. Its totient is φ = 29797661859840.

The previous prime is 113013364568779. The next prime is 113013364568917. The reversal of 113013364568832 is 238865463310311.

113013364568832 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 13 + 3 + 64 + 568 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10776514693 + ... + 10776525179.

Almost surely, 2^{113013364568832} is an apocalyptic number.

113013364568832 is a gapful number since it is divisible by the number (12) 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 113013364568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207431723068416).

113013364568832 is an abundant number, since it is smaller than the sum of its proper divisors (301850081568000).

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

113013364568832 is a wasteful number, since it uses less digits than its factorization.

113013364568832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16246 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 113013364568832 in words is "one hundred thirteen trillion, thirteen billion, three hundred sixty-four million, five hundred sixty-eight thousand, eight hundred thirty-two".