113314560 has 144 divisors (see below), whose sum is σ = 377927424. Its totient is φ = 28880896.

The previous prime is 113314549. The next prime is 113314567. The reversal of 113314560 is 65413311.

Added to its reverse (65413311) it gives a triangular number (178727871 = T₁₈₉₀₆).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113314560.

It is not an unprimeable number, because it can be changed into a prime (113314567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87679 + ... + 88961.

It is an arithmetic number, because the mean of its divisors is an integer number (2624496).

Almost surely, 2^113314560 is an apocalyptic number.

113314560 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 113314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188963712).

113314560 is an abundant number, since it is smaller than the sum of its proper divisors (264612864).

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

113314560 is a wasteful number, since it uses less digits than its factorization.

113314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 113314560 is about 10644.9311881289. The cubic root of 113314560 is about 483.9070012334.

Adding to 113314560 its reverse (65413311), we get a palindrome (178727871).

The spelling of 113314560 in words is "one hundred thirteen million, three hundred fourteen thousand, five hundred sixty".