113413120 has 88 divisors (see below), whose sum is σ = 288283104. Its totient is φ = 42663936.

The previous prime is 113413081. The next prime is 113413127. The reversal of 113413120 is 21314311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113413094 and 113413103.

It is not an unprimeable number, because it can be changed into a prime (113413127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86389 + ... + 87691.

Almost surely, 2^113413120 is an apocalyptic number.

113413120 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 113413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144141552).

113413120 is an abundant number, since it is smaller than the sum of its proper divisors (174869984).

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

113413120 is a wasteful number, since it uses less digits than its factorization.

113413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 113413120 is about 10649.5596153080. The cubic root of 113413120 is about 484.0472599163.

Adding to 113413120 its reverse (21314311), we get a palindrome (134727431).

The spelling of 113413120 in words is "one hundred thirteen million, four hundred thirteen thousand, one hundred twenty".