113319 has 10 divisors (see below), whose sum is σ = 169400. Its totient is φ = 75492.

The previous prime is 113287. The next prime is 113327. The reversal of 113319 is 913311.

It is not a de Polignac number, because 113319 - 2⁵ = 113287 is a prime.

It is a super-2 number, since 2×113319² = 25682391522, which contains 22 as substring.

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 Duffinian number.

113319 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 619 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (16940).

2¹¹³³¹⁹ is an apocalyptic number.

113319 is a deficient number, since it is larger than the sum of its proper divisors (56081).

113319 is an equidigital number, since it uses as much as digits as its factorization.

113319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1402 counting only the distinct ones).

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

The square root of 113319 is about 336.6288757668. The cubic root of 113319 is about 48.3913321454.

The spelling of 113319 in words is "one hundred thirteen thousand, three hundred nineteen".