113813 has 8 divisors (see below), whose sum is σ = 132480. Its totient is φ = 95760.

The previous prime is 113809. The next prime is 113819. The reversal of 113813 is 318311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113813 - 2² = 113809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113791 and 113800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113819) 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, 383 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (16560).

2¹¹³⁸¹³ is an apocalyptic number.

It is an amenable number.

113813 is a deficient number, since it is larger than the sum of its proper divisors (18667).

113813 is an equidigital number, since it uses as much as digits as its factorization.

113813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307.

The product of its digits is 72, while the sum is 17.

The square root of 113813 is about 337.3618235663. The cubic root of 113813 is about 48.4615488627.

It can be divided in two parts, 11381 and 3, that multiplied together give a palindrome (34143).

The spelling of 113813 in words is "one hundred thirteen thousand, eight hundred thirteen".