10001310313 has 2 divisors, whose sum is σ = 10001310314. Its totient is φ = 10001310312.

The previous prime is 10001310299. The next prime is 10001310331. The reversal of 10001310313 is 31301310001.

It is a happy number.

10001310313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10001310331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6686659984 + 3314650329 = 81772^2 + 57573^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001310313 - 2²⁵ = 9967755881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001310293 and 10001310302.

It is not a weakly prime, because it can be changed into another prime (10001310343) 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, 5000655156 + 5000655157.

It is an arithmetic number, because the mean of its divisors is an integer number (5000655157).

Almost surely, 2^10001310313 is an apocalyptic number.

It is an amenable number.

10001310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001310313 is an equidigital number, since it uses as much as digits as its factorization.

10001310313 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 13.

Adding to 10001310313 its reverse (31301310001), we get a palindrome (41302620314).

The spelling of 10001310313 in words is "ten billion, one million, three hundred ten thousand, three hundred thirteen".