113681 has 4 divisors (see below), whose sum is σ = 115200. Its totient is φ = 112164.

The previous prime is 113657. The next prime is 113683. The reversal of 113681 is 186311.

113681 is nontrivially palindromic in base 12.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 113681 - 2¹⁰ = 112657 is a prime.

It is a super-2 number, since 2×113681² = 25846739522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113681.

It is not an unprimeable number, because it can be changed into a prime (113683) 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, 641 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2¹¹³⁶⁸¹ is an apocalyptic number.

It is an amenable number.

113681 is a deficient number, since it is larger than the sum of its proper divisors (1519).

113681 is an equidigital number, since it uses as much as digits as its factorization.

113681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518.

The product of its digits is 144, while the sum is 20.

The square root of 113681 is about 337.1661311579. The cubic root of 113681 is about 48.4428064252.

Adding to 113681 its reverse (186311), we get a palindrome (299992).

The spelling of 113681 in words is "one hundred thirteen thousand, six hundred eighty-one".