31113 has 6 divisors (see below), whose sum is σ = 44954. Its totient is φ = 20736.

The previous prime is 31091. The next prime is 31121.

It can be divided in two parts, 311 and 13, that added together give a square (324 = 18^{2}).

31113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 13689 = 132^2 + 117^2 .

It is not a de Polignac number, because 31113 - 2^{5} = 31081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 3457 = 31113 / (3 + 1 + 1 + 1 + 3).

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.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 31095 and 31104.

It is not an unprimeable number, because it can be changed into a prime (31123) 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, 1720 + ... + 1737.

2^{31113} is an apocalyptic number.

It is an amenable number.

31113 is a deficient number, since it is larger than the sum of its proper divisors (13841).

31113 is a wasteful number, since it uses less digits than its factorization.

31113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3460 counting only the distinct ones).

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

The square root of 31113 is about 176.3887751531. The cubic root of 31113 is about 31.4519297035.

The spelling of 31113 in words is "thirty-one thousand, one hundred thirteen".

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