113112 has 24 divisors (see below), whose sum is σ = 306540. Its totient is φ = 37680.

The previous prime is 113111. The next prime is 113117. The reversal of 113112 is 211311.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 113094 and 113103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 714 + ... + 857.

2¹¹³¹¹² is an apocalyptic number.

113112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113112 is an abundant number, since it is smaller than the sum of its proper divisors (193428).

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

113112 is a wasteful number, since it uses less digits than its factorization.

113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1576 counting only the distinct ones).

The product of its digits is 6, while the sum is 9.

The square root of 113112 is about 336.3212749738. The cubic root of 113112 is about 48.3618486774.

Adding to 113112 its reverse (211311), we get a palindrome (324423).

It can be divided in two parts, 11311 and 2, that multiplied together give a palindrome (22622).

The spelling of 113112 in words is "one hundred thirteen thousand, one hundred twelve".