113212320 has 96 divisors (see below), whose sum is σ = 384072192. Its totient is φ = 27866112.

The previous prime is 113212291. The next prime is 113212343. The reversal of 113212320 is 23212311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113212320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832 + ... + 15311.

It is an arithmetic number, because the mean of its divisors is an integer number (4000752).

Almost surely, 2^113212320 is an apocalyptic number.

113212320 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 113212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192036096).

113212320 is an abundant number, since it is smaller than the sum of its proper divisors (270859872).

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

113212320 is a wasteful number, since it uses less digits than its factorization.

113212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18174 (or 18166 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113212320 is about 10640.1278187811. The cubic root of 113212320 is about 483.7614196504.

Adding to 113212320 its reverse (23212311), we get a palindrome (136424631).

Subtracting from 113212320 its reverse (23212311), we obtain a palindrome (90000009).

The spelling of 113212320 in words is "one hundred thirteen million, two hundred twelve thousand, three hundred twenty".