10031310313 has 2 divisors, whose sum is σ = 10031310314. Its totient is φ = 10031310312.

The previous prime is 10031310301. The next prime is 10031310347. The reversal of 10031310313 is 31301313001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5758988544 + 4272321769 = 75888^2 + 65363^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031310313 - 2²⁹ = 9494439401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10031310713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015655156 + 5015655157.

It is an arithmetic number, because the mean of its divisors is an integer number (5015655157).

Almost surely, 2^10031310313 is an apocalyptic number.

It is an amenable number.

10031310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031310313 is an equidigital number, since it uses as much as digits as its factorization.

10031310313 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 10031310313 its reverse (31301313001), we get a palindrome (41332623314).

The spelling of 10031310313 in words is "ten billion, thirty-one million, three hundred ten thousand, three hundred thirteen".