113431107600 has 180 divisors, whose sum is σ = 394776201456. Its totient is φ = 30160792320.

The previous prime is 113431107599. The next prime is 113431107613. The reversal of 113431107600 is 6701134311.

113431107600 is a `hidden beast` number, since 1 + 1 + 3 + 43 + 1 + 10 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1203799 + ... + 1294601.

Almost surely, 2^113431107600 is an apocalyptic number.

113431107600 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 113431107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197388100728).

113431107600 is an abundant number, since it is smaller than the sum of its proper divisors (281345093856).

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

113431107600 is a wasteful number, since it uses less digits than its factorization.

113431107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91174 (or 91160 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 113431107600 in words is "one hundred thirteen billion, four hundred thirty-one million, one hundred seven thousand, six hundred".