113913 has 8 divisors (see below), whose sum is σ = 168800. Its totient is φ = 75924.

The previous prime is 113909. The next prime is 113921. The reversal of 113913 is 319311.

113913 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 113913 - 2² = 113909 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2083 + ... + 2136.

It is an arithmetic number, because the mean of its divisors is an integer number (21100).

2¹¹³⁹¹³ is an apocalyptic number.

It is an amenable number.

113913 is a deficient number, since it is larger than the sum of its proper divisors (54887).

113913 is an equidigital number, since it uses as much as digits as its factorization.

113913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4222 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 113913 is about 337.5099998519. The cubic root of 113913 is about 48.4757380333.

The spelling of 113913 in words is "one hundred thirteen thousand, nine hundred thirteen".