113300879112960 has 6912 divisors, whose sum is σ = 541163814912000. Its totient is φ = 20028653568000.

The previous prime is 113300879112959. The next prime is 113300879113039. The reversal of 113300879112960 is 69211978003311.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1595787029725 + ... + 1595787029795.

It is an arithmetic number, because the mean of its divisors is an integer number (78293376000).

Almost surely, 2^{113300879112960} is an apocalyptic number.

113300879112960 is a gapful number since it is divisible by the number (10) 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 113300879112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270581907456000).

113300879112960 is an abundant number, since it is smaller than the sum of its proper divisors (427862935799040).

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

113300879112960 is a wasteful number, since it uses less digits than its factorization.

113300879112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 113300879112960 in words is "one hundred thirteen trillion, three hundred billion, eight hundred seventy-nine million, one hundred twelve thousand, nine hundred sixty".