113220251596032 has 288 divisors, whose sum is σ = 345043882310400. Its totient is φ = 32286175395840.

The previous prime is 113220251596031. The next prime is 113220251596057. The reversal of 113220251596032 is 230695152022311.

113220251596032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113220251596031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7234975344 + ... + 7234990992.

It is an arithmetic number, because the mean of its divisors is an integer number (1198069035800).

Almost surely, 2^{113220251596032} is an apocalyptic number.

113220251596032 is a gapful number since it is divisible by the number (12) 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 113220251596032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172521941155200).

113220251596032 is an abundant number, since it is smaller than the sum of its proper divisors (231823630714368).

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

113220251596032 is a wasteful number, since it uses less digits than its factorization.

113220251596032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18189 (or 18175 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 113220251596032 in words is "one hundred thirteen trillion, two hundred twenty billion, two hundred fifty-one million, five hundred ninety-six thousand, thirty-two".