113314713120 has 288 divisors, whose sum is σ = 467923817088. Its totient is φ = 24376909824.

The previous prime is 113314713119. The next prime is 113314713139. The reversal of 113314713120 is 21317413311.

113314713120 is a `hidden beast` number, since 11 + 331 + 4 + 7 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159274 + ... + 501993.

It is an arithmetic number, because the mean of its divisors is an integer number (1624735476).

Almost surely, 2^113314713120 is an apocalyptic number.

113314713120 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 113314713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233961908544).

113314713120 is an abundant number, since it is smaller than the sum of its proper divisors (354609103968).

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

113314713120 is a wasteful number, since it uses less digits than its factorization.

113314713120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661312 (or 661301 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 113314713120 in words is "one hundred thirteen billion, three hundred fourteen million, seven hundred thirteen thousand, one hundred twenty".