113120111132100 has 108 divisors (see below), whose sum is σ = 357882430402224. Its totient is φ = 29883443663040.

The previous prime is 113120111132089. The next prime is 113120111132123. The reversal of 113120111132100 is 1231111021311.

113120111132100 is a `hidden beast` number, since 1 + 1 + 31 + 201 + 111 + 321 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 587235534 + ... + 587428133.

It is an arithmetic number, because the mean of its divisors is an integer number (3313726207428).

Almost surely, 2^{113120111132100} is an apocalyptic number.

113120111132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113120111132100 is an abundant number, since it is smaller than the sum of its proper divisors (244762319270124).

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

113120111132100 is a wasteful number, since it uses less digits than its factorization.

113120111132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174663794 (or 1174663784 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 113120111132100 its reverse (1231111021311), we get a palindrome (114351222153411).

The spelling of 113120111132100 in words is "one hundred thirteen trillion, one hundred twenty billion, one hundred eleven million, one hundred thirty-two thousand, one hundred".