113412320 has 96 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 38486016.

The previous prime is 113412317. The next prime is 113412323. The reversal of 113412320 is 23214311.

It is an interprime number because it is at equal distance from previous prime (113412317) and next prime (113412323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113412323) 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, 121616 + ... + 122544.

It is an arithmetic number, because the mean of its divisors is an integer number (3222450).

Almost surely, 2^113412320 is an apocalyptic number.

113412320 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 113412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

113412320 is an abundant number, since it is smaller than the sum of its proper divisors (195942880).

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

113412320 is a wasteful number, since it uses less digits than its factorization.

113412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113412320 is about 10649.5220550032. The cubic root of 113412320 is about 484.0461217801.

Adding to 113412320 its reverse (23214311), we get a palindrome (136626631).

The spelling of 113412320 in words is "one hundred thirteen million, four hundred twelve thousand, three hundred twenty".