113101920 has 144 divisors (see below), whose sum is σ = 400392720. Its totient is φ = 30150144.

The previous prime is 113101913. The next prime is 113101939. The reversal of 113101920 is 29101311.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 113101893 and 113101902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37426 + ... + 40334.

It is an arithmetic number, because the mean of its divisors is an integer number (2780505).

Almost surely, 2^113101920 is an apocalyptic number.

113101920 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 113101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200196360).

113101920 is an abundant number, since it is smaller than the sum of its proper divisors (287290800).

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

113101920 is an equidigital number, since it uses as much as digits as its factorization.

113101920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 113101920 is about 10634.9386458033. The cubic root of 113101920 is about 483.6041204262.

The spelling of 113101920 in words is "one hundred thirteen million, one hundred one thousand, nine hundred twenty".