113131200 has 504 divisors, whose sum is σ = 477542352. Its totient is φ = 23224320.

The previous prime is 113131199. The next prime is 113131223. The reversal of 113131200 is 2131311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3057582 + ... + 3057618.

Almost surely, 2^113131200 is an apocalyptic number.

113131200 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 113131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238771176).

113131200 is an abundant number, since it is smaller than the sum of its proper divisors (364411152).

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

113131200 is a wasteful number, since it uses less digits than its factorization.

113131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113131200 is about 10636.3151514046. The cubic root of 113131200 is about 483.6458488864.

Adding to 113131200 its reverse (2131311), we get a palindrome (115262511).

The spelling of 113131200 in words is "one hundred thirteen million, one hundred thirty-one thousand, two hundred".