113300 has 36 divisors (see below), whose sum is σ = 270816. Its totient is φ = 40800.

The previous prime is 113287. The next prime is 113327. The reversal of 113300 is 3311.

113300 is a Rhonda number in base 15.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

113300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049 + ... + 1151.

2¹¹³³⁰⁰ is an apocalyptic number.

113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113300 is the 275-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

113300 is an abundant number, since it is smaller than the sum of its proper divisors (157516).

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

113300 is a wasteful number, since it uses less digits than its factorization.

113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 113300 is about 336.6006535941. The cubic root of 113300 is about 48.3886274307.

Adding to 113300 its reverse (3311), we get a palindrome (116611).

The spelling of 113300 in words is "one hundred thirteen thousand, three hundred".