10310013313 has 2 divisors, whose sum is σ = 10310013314. Its totient is φ = 10310013312.

The previous prime is 10310013283. The next prime is 10310013353. The reversal of 10310013313 is 31331001301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6389124624 + 3920888689 = 79932^2 + 62617^2 .

It is an emirp because it is prime and its reverse (31331001301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10310013313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10310013353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155006656 + 5155006657.

It is an arithmetic number, because the mean of its divisors is an integer number (5155006657).

Almost surely, 2^10310013313 is an apocalyptic number.

It is an amenable number.

10310013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10310013313 is an equidigital number, since it uses as much as digits as its factorization.

10310013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10310013313 its reverse (31331001301), we get a palindrome (41641014614).

The spelling of 10310013313 in words is "ten billion, three hundred ten million, thirteen thousand, three hundred thirteen".