113311200 has 144 divisors (see below), whose sum is σ = 380975616. Its totient is φ = 29222400.

The previous prime is 113311157. The next prime is 113311213. The reversal of 113311200 is 2113311.

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 23 ways as a sum of consecutive naturals, for example, 73639 + ... + 75161.

It is an arithmetic number, because the mean of its divisors is an integer number (2645664).

Almost surely, 2^113311200 is an apocalyptic number.

113311200 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 113311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190487808).

113311200 is an abundant number, since it is smaller than the sum of its proper divisors (267664416).

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

113311200 is a wasteful number, since it uses less digits than its factorization.

113311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1564 counting only the distinct ones).

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

The square root of 113311200 is about 10644.7733653657. The cubic root of 113311200 is about 483.9022182541.

Adding to 113311200 its reverse (2113311), we get a palindrome (115424511).

The spelling of 113311200 in words is "one hundred thirteen million, three hundred eleven thousand, two hundred".