313331 has 2 divisors, whose sum is σ = 313332. Its totient is φ = 313330.

The previous prime is 313321. The next prime is 313333. The reversal of 313331 is 133313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 313331 - 2⁶ = 313267 is a prime.

It is a super-2 number, since 2×313331² = 196352631122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 313333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156665 + 156666.

It is an arithmetic number, because the mean of its divisors is an integer number (156666).

2³¹³³³¹ is an apocalyptic number.

313331 is a deficient number, since it is larger than the sum of its proper divisors (1).

313331 is an equidigital number, since it uses as much as digits as its factorization.

313331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 81, while the sum is 14.

The square root of 313331 is about 559.7597699013. The cubic root of 313331 is about 67.9205386696.

Adding to 313331 its reverse (133313), we get a palindrome (446644).

It can be divided in two parts, 3 and 13331, that multiplied together give a palindrome (39993).

The spelling of 313331 in words is "three hundred thirteen thousand, three hundred thirty-one".