113313120 has 48 divisors (see below), whose sum is σ = 356937840. Its totient is φ = 30216704.

The previous prime is 113313061. The next prime is 113313163. The reversal of 113313120 is 21313311.

It is a tau number, because it is divible by the number of its divisors (48).

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 113313120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117555 + ... + 118514.

It is an arithmetic number, because the mean of its divisors is an integer number (7436205).

Almost surely, 2^113313120 is an apocalyptic number.

113313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113313120 is an abundant number, since it is smaller than the sum of its proper divisors (243624720).

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

113313120 is a wasteful number, since it uses less digits than its factorization.

113313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236087 (or 236079 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 113313120 is about 10644.8635500884. The cubic root of 113313120 is about 483.9049513967.

Adding to 113313120 its reverse (21313311), we get a palindrome (134626431).

The spelling of 113313120 in words is "one hundred thirteen million, three hundred thirteen thousand, one hundred twenty".