113233562724100 has 288 divisors, whose sum is σ = 320234144702976. Its totient is φ = 33725998080000.

The previous prime is 113233562724067. The next prime is 113233562724143. The reversal of 113233562724100 is 1427265332311.

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 95 ways as a sum of consecutive naturals, for example, 3566283225 + ... + 3566314975.

It is an arithmetic number, because the mean of its divisors is an integer number (1111924113552).

Almost surely, 2^{113233562724100} is an apocalyptic number.

113233562724100 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 113233562724100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160117072351488).

113233562724100 is an abundant number, since it is smaller than the sum of its proper divisors (207000581978876).

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

113233562724100 is a wasteful number, since it uses less digits than its factorization.

113233562724100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54855 (or 54848 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 113233562724100 in words is "one hundred thirteen trillion, two hundred thirty-three billion, five hundred sixty-two million, seven hundred twenty-four thousand, one hundred".