113202 has 24 divisors (see below), whose sum is σ = 258960. Its totient is φ = 35640.

The previous prime is 113189. The next prime is 113209. The reversal of 113202 is 202311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

113202 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, 177 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (10790).

2¹¹³²⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129480).

113202 is an abundant number, since it is smaller than the sum of its proper divisors (145758).

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

113202 is a wasteful number, since it uses less digits than its factorization.

113202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 113202 is about 336.4550490036. The cubic root of 113202 is about 48.3746719926.

Adding to 113202 its reverse (202311), we get a palindrome (315513).

It can be divided in two parts, 1 and 13202, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 113202 in words is "one hundred thirteen thousand, two hundred two".