113512320 has 128 divisors (see below), whose sum is σ = 402084000. Its totient is φ = 30265344.

The previous prime is 113512319. The next prime is 113512339. The reversal of 113512320 is 23215311.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 113512293 and 113512302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13996 + ... + 20564.

Almost surely, 2^113512320 is an apocalyptic number.

113512320 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 113512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201042000).

113512320 is an abundant number, since it is smaller than the sum of its proper divisors (288571680).

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

113512320 is an equidigital number, since it uses as much as digits as its factorization.

113512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113512320 is about 10654.2160668911. The cubic root of 113512320 is about 484.1883473408.

Adding to 113512320 its reverse (23215311), we get a palindrome (136727631).

The spelling of 113512320 in words is "one hundred thirteen million, five hundred twelve thousand, three hundred twenty".