113400320 has 80 divisors (see below), whose sum is σ = 296686368. Its totient is φ = 41226240.

The previous prime is 113400311. The next prime is 113400323. The reversal of 113400320 is 23004311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×113400320² = 25719265152204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113400295 and 113400304.

It is not an unprimeable number, because it can be changed into a prime (113400323) 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, 26147 + ... + 30173.

Almost surely, 2^113400320 is an apocalyptic number.

113400320 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 113400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148343184).

113400320 is an abundant number, since it is smaller than the sum of its proper divisors (183286048).

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

113400320 is an equidigital number, since it uses as much as digits as its factorization.

113400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 113400320 is about 10648.9586345332. The cubic root of 113400320 is about 484.0290490954.

Adding to 113400320 its reverse (23004311), we get a palindrome (136404631).

The spelling of 113400320 in words is "one hundred thirteen million, four hundred thousand, three hundred twenty".