113713120 has 48 divisors (see below), whose sum is σ = 270632880. Its totient is φ = 45149184.

The previous prime is 113713111. The next prime is 113713121. The reversal of 113713120 is 21317311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113713121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19684 + ... + 24796.

It is an arithmetic number, because the mean of its divisors is an integer number (5638185).

Almost surely, 2^113713120 is an apocalyptic number.

113713120 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 113713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135316440).

113713120 is an abundant number, since it is smaller than the sum of its proper divisors (156919760).

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

113713120 is a wasteful number, since it uses less digits than its factorization.

113713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 113713120 is about 10663.6354026195. The cubic root of 113713120 is about 484.4736842012.

The spelling of 113713120 in words is "one hundred thirteen million, seven hundred thirteen thousand, one hundred twenty".