10313100313 has 2 divisors, whose sum is σ = 10313100314. Its totient is φ = 10313100312.

The previous prime is 10313100253. The next prime is 10313100323. The reversal of 10313100313 is 31300131301.

10313100313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8733276304 + 1579824009 = 93452^2 + 39747^2 .

It is an emirp because it is prime and its reverse (31300131301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10313100313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10313100323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156550156 + 5156550157.

It is an arithmetic number, because the mean of its divisors is an integer number (5156550157).

Almost surely, 2^10313100313 is an apocalyptic number.

It is an amenable number.

10313100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313100313 is an equidigital number, since it uses as much as digits as its factorization.

10313100313 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 10313100313 its reverse (31300131301), we get a palindrome (41613231614).

The spelling of 10313100313 in words is "ten billion, three hundred thirteen million, one hundred thousand, three hundred thirteen".