113283256320 has 1248 divisors, whose sum is σ = 468838685952. Its totient is φ = 25990004736.

The previous prime is 113283256313. The next prime is 113283256351. The reversal of 113283256320 is 23652382311.

113283256320 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 8 + 325 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099837389 + ... + 1099837491.

It is an arithmetic number, because the mean of its divisors is an integer number (375672024).

Almost surely, 2^113283256320 is an apocalyptic number.

113283256320 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 113283256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234419342976).

113283256320 is an abundant number, since it is smaller than the sum of its proper divisors (355555429632).

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

113283256320 is a wasteful number, since it uses less digits than its factorization.

113283256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 113283256320 in words is "one hundred thirteen billion, two hundred eighty-three million, two hundred fifty-six thousand, three hundred twenty".