113034032100 has 432 divisors, whose sum is σ = 403195193856. Its totient is φ = 26237952000.

The previous prime is 113034032093. The next prime is 113034032101. The reversal of 113034032100 is 1230430311.

113034032100 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 340 + 321 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (113034032101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 29767402 + ... + 29771198.

It is an arithmetic number, because the mean of its divisors is an integer number (933322208).

Almost surely, 2^113034032100 is an apocalyptic number.

113034032100 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 113034032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201597596928).

113034032100 is an abundant number, since it is smaller than the sum of its proper divisors (290161161756).

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

113034032100 is a wasteful number, since it uses less digits than its factorization.

113034032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113034032100 its reverse (1230430311), we get a palindrome (114264462411).

The spelling of 113034032100 in words is "one hundred thirteen billion, thirty-four million, thirty-two thousand, one hundred".