31313 has 4 divisors (see below), whose sum is σ = 31668. Its totient is φ = 30960.

The previous prime is 31307. The next prime is 31319.

31313 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (31307) and next prime (31319).

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 18769 = 112^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 31313 - 2⁶ = 31249 is a prime.

It is a Duffinian number.

31313 is an undulating number in base 10.

It is a Curzon number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 31294 and 31303.

It is not an unprimeable number, because it can be changed into a prime (31319) 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, 83 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (7917).

2³¹³¹³ is an apocalyptic number.

It is an amenable number.

31313 is a deficient number, since it is larger than the sum of its proper divisors (355).

31313 is a wasteful number, since it uses less digits than its factorization.

31313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354.

The product of its digits is 27, while the sum is 11.

The square root of 31313 is about 176.9547964877. The cubic root of 31313 is about 31.5191787129.

Multiplying 31313 by its sum of digits (11), we get a palindrome (344443).

The spelling of 31313 in words is "thirty-one thousand, three hundred thirteen".