113013200 has 60 divisors (see below), whose sum is σ = 272616480. Its totient is φ = 45022080.

The previous prime is 113013193. The next prime is 113013209. The reversal of 113013200 is 2310311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113013209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143207 + ... + 143993.

It is an arithmetic number, because the mean of its divisors is an integer number (4543608).

Almost surely, 2^113013200 is an apocalyptic number.

113013200 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 113013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136308240).

113013200 is an abundant number, since it is smaller than the sum of its proper divisors (159603280).

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

113013200 is a wasteful number, since it uses less digits than its factorization.

113013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 113013200 is about 10630.7666703771. The cubic root of 113013200 is about 483.4776369231.

Adding to 113013200 its reverse (2310311), we get a palindrome (115323511).

The spelling of 113013200 in words is "one hundred thirteen million, thirteen thousand, two hundred".