113052 has 12 divisors (see below), whose sum is σ = 263816. Its totient is φ = 37680.

The previous prime is 113051. The next prime is 113063. The reversal of 113052 is 250311.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 9421 = 113052 / (1 + 1 + 3 + 0 + 5 + 2).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4699 + ... + 4722.

2¹¹³⁰⁵² is an apocalyptic number.

113052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113052 is an abundant number, since it is smaller than the sum of its proper divisors (150764).

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

113052 is a wasteful number, since it uses less digits than its factorization.

113052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 113052 is about 336.2320627186. The cubic root of 113052 is about 48.3532960213.

Adding to 113052 its reverse (250311), we get a palindrome (363363).

The spelling of 113052 in words is "one hundred thirteen thousand, fifty-two".