113313200 has 240 divisors, whose sum is σ = 366809856. Its totient is φ = 32486400.

The previous prime is 113313191. The next prime is 113313209. The reversal of 113313200 is 2313311.

It is an interprime number because it is at equal distance from previous prime (113313191) and next prime (113313209).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (113313209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400259 + ... + 400541.

Almost surely, 2^113313200 is an apocalyptic number.

113313200 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 113313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183404928).

113313200 is an abundant number, since it is smaller than the sum of its proper divisors (253496656).

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

113313200 is a wasteful number, since it uses less digits than its factorization.

113313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

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

The square root of 113313200 is about 10644.8673077686. The cubic root of 113313200 is about 483.9050652770.

Adding to 113313200 its reverse (2313311), we get a palindrome (115626511).

It can be divided in two parts, 113 and 313200, that added together give a palindrome (313313).

The spelling of 113313200 in words is "one hundred thirteen million, three hundred thirteen thousand, two hundred".