113312400 has 60 divisors (see below), whose sum is σ = 362981232. Its totient is φ = 30216320.

The previous prime is 113312399. The next prime is 113312411. The reversal of 113312400 is 4213311.

It is a tau number, because it is divible by the number of its divisors (60).

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 113312400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46014 + ... + 48413.

Almost surely, 2^113312400 is an apocalyptic number.

113312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113312400 is an abundant number, since it is smaller than the sum of its proper divisors (249668832).

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

113312400 is a wasteful number, since it uses less digits than its factorization.

113312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94448 (or 94437 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113312400 is about 10644.8297309069. The cubic root of 113312400 is about 483.9039264718.

Adding to 113312400 its reverse (4213311), we get a palindrome (117525711).

It can be divided in two parts, 11331 and 2400, that added together give a palindrome (13731).

The spelling of 113312400 in words is "one hundred thirteen million, three hundred twelve thousand, four hundred".