113608732120400 has 120 divisors (see below), whose sum is σ = 299004011625600. Its totient is φ = 41139411174400.

The previous prime is 113608732120363. The next prime is 113608732120409. The reversal of 113608732120400 is 4021237806311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113608732120409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52965485 + ... + 55068684.

It is an arithmetic number, because the mean of its divisors is an integer number (2491700096880).

Almost surely, 2^{113608732120400} is an apocalyptic number.

113608732120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113608732120400 is an abundant number, since it is smaller than the sum of its proper divisors (185395279505200).

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

113608732120400 is a wasteful number, since it uses less digits than its factorization.

113608732120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108034437 (or 108034426 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

Adding to 113608732120400 its reverse (4021237806311), we get a palindrome (117629969926711).

The spelling of 113608732120400 in words is "one hundred thirteen trillion, six hundred eight billion, seven hundred thirty-two million, one hundred twenty thousand, four hundred".