113332200 has 192 divisors, whose sum is σ = 382475520. Its totient is φ = 27648000.

The previous prime is 113332199. The next prime is 113332211. The reversal of 113332200 is 2233311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 113332200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418065 + ... + 418335.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^113332200 is an apocalyptic number.

113332200 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 113332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

113332200 is an abundant number, since it is smaller than the sum of its proper divisors (269143320).

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

113332200 is a wasteful number, since it uses less digits than its factorization.

113332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 113332200 is about 10645.7597192497. The cubic root of 113332200 is about 483.9321103238.

Adding to 113332200 its reverse (2233311), we get a palindrome (115565511).

It can be divided in two parts, 1133 and 32200, that added together give a palindrome (33333).

The spelling of 113332200 in words is "one hundred thirteen million, three hundred thirty-two thousand, two hundred".