113331600 has 90 divisors (see below), whose sum is σ = 393304626. Its totient is φ = 30220800.

The previous prime is 113331593. The next prime is 113331607. The reversal of 113331600 is 6133311.

113331600 is a `hidden beast` number, since 1 + 1 + 33 + 31 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (113331593) and next prime (113331607).

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 113294736 = 192^2 + 10644^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113331607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12141 + ... + 19340.

Almost surely, 2^113331600 is an apocalyptic number.

113331600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113331600 is an abundant number, since it is smaller than the sum of its proper divisors (279973026).

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

113331600 is a wasteful number, since it uses less digits than its factorization.

113331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31505 (or 31491 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 113331600 is about 10645.7315389784. The cubic root of 113331600 is about 483.9312563159.

Adding to 113331600 its reverse (6133311), we get a palindrome (119464911).

The spelling of 113331600 in words is "one hundred thirteen million, three hundred thirty-one thousand, six hundred".