113253734100 has 288 divisors, whose sum is σ = 357899342976. Its totient is φ = 27484416000.

The previous prime is 113253734081. The next prime is 113253734107. The reversal of 113253734100 is 1437352311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113253734107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124865847 + ... + 124866753.

It is an arithmetic number, because the mean of its divisors is an integer number (1242706052).

Almost surely, 2^113253734100 is an apocalyptic number.

113253734100 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 113253734100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178949671488).

113253734100 is an abundant number, since it is smaller than the sum of its proper divisors (244645608876).

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

113253734100 is a wasteful number, since it uses less digits than its factorization.

113253734100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 113253734100 in words is "one hundred thirteen billion, two hundred fifty-three million, seven hundred thirty-four thousand, one hundred".