113200 has 30 divisors (see below), whose sum is σ = 272924. Its totient is φ = 45120.

The previous prime is 113189. The next prime is 113209. The reversal of 113200 is 2311.

113200 = T₁₃ + T₁₄ + ... + T₈₇.

It is not an unprimeable number, because it can be changed into a prime (113209) by changing a digit.

113200 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 5 ways as a sum of consecutive naturals, for example, 259 + ... + 541.

2¹¹³²⁰⁰ is an apocalyptic number.

113200 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 113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136462).

113200 is an abundant number, since it is smaller than the sum of its proper divisors (159724).

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

113200 is a wasteful number, since it uses less digits than its factorization.

113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 113200 is about 336.4520768252. The cubic root of 113200 is about 48.3743871039.

Adding to 113200 its reverse (2311), we get a palindrome (115511).

Subtracting from 113200 its reverse (2311), we obtain a square (110889 = 333²).

It can be divided in two parts, 113 and 200, that added together give a palindrome (313).

The spelling of 113200 in words is "one hundred thirteen thousand, two hundred".