10313 has 2 divisors, whose sum is σ = 10314. Its totient is φ = 10312.

The previous prime is 10303. The next prime is 10321. The reversal of 10313 is 31301.

It is an a-pointer prime, because the next prime (10321) can be obtained adding 10313 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 1849 = 92^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 10313 - 2^{12} = 6217 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10313.

It is not a weakly prime, because it can be changed into another prime (10303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156 + 5157.

It is an arithmetic number, because the mean of its divisors is an integer number (5157).

2^{10313} is an apocalyptic number.

It is an amenable number.

10313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313 is an equidigital number, since it uses as much as digits as its factorization.

10313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 10313 is about 101.5529418579. The cubic root of 10313 is about 21.7668210036.

Adding to 10313 its reverse (31301), we get a palindrome (41614).

It can be divided in two parts, 10 and 313, that added together give a palindrome (323).

The spelling of 10313 in words is "ten thousand, three hundred thirteen".

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