310313 has 2 divisors, whose sum is σ = 310314. Its totient is φ = 310312.

The previous prime is 310291. The next prime is 310333. The reversal of 310313 is 313013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310249 + 64 = 557^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 310313 - 2¹⁰ = 309289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 310294 and 310303.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 310313.

It is not a weakly prime, because it can be changed into another prime (310333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155156 + 155157.

It is an arithmetic number, because the mean of its divisors is an integer number (155157).

2³¹⁰³¹³ is an apocalyptic number.

It is an amenable number.

310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

310313 is an equidigital number, since it uses as much as digits as its factorization.

310313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 310313 is about 557.0574476659. The cubic root of 310313 is about 67.7017648434.

Adding to 310313 its reverse (313013), we get a palindrome (623326).

The spelling of 310313 in words is "three hundred ten thousand, three hundred thirteen".