113400051042132 has 144 divisors (see below), whose sum is σ = 291625556040000. Its totient is φ = 37149485967360.

The previous prime is 113400051042101. The next prime is 113400051042149. The reversal of 113400051042132 is 231240150004311.

113400051042132 is a `hidden beast` number, since 1 + 1 + 340 + 0 + 0 + 5 + 104 + 213 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113400051042096 and 113400051042105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2132715907 + ... + 2132769077.

It is an arithmetic number, because the mean of its divisors is an integer number (2025177472500).

Almost surely, 2^{113400051042132} is an apocalyptic number.

113400051042132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113400051042132 is an abundant number, since it is smaller than the sum of its proper divisors (178225504997868).

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

113400051042132 is a wasteful number, since it uses less digits than its factorization.

113400051042132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57526 (or 57521 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 113400051042132 in words is "one hundred thirteen trillion, four hundred billion, fifty-one million, forty-two thousand, one hundred thirty-two".