113331200 has 132 divisors (see below), whose sum is σ = 296978760. Its totient is φ = 42762240.

The previous prime is 113331161. The next prime is 113331247. The reversal of 113331200 is 2133311.

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, 486284 + ... + 486516.

Almost surely, 2^113331200 is an apocalyptic number.

113331200 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 113331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148489380).

113331200 is an abundant number, since it is smaller than the sum of its proper divisors (183647560).

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

113331200 is a wasteful number, since it uses less digits than its factorization.

113331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 113331200 is about 10645.7127520895. The cubic root of 113331200 is about 483.9306869756.

Adding to 113331200 its reverse (2133311), we get a palindrome (115464511).

The spelling of 113331200 in words is "one hundred thirteen million, three hundred thirty-one thousand, two hundred".