10313031329 has 2 divisors, whose sum is σ = 10313031330. Its totient is φ = 10313031328.

The previous prime is 10313031293. The next prime is 10313031389. The reversal of 10313031329 is 92313031301.

10313031329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10313031293) 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., 10268782225 + 44249104 = 101335^2 + 6652^2 .

It is a cyclic number.

It is not a de Polignac number, because 10313031329 - 2⁸ = 10313031073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10313031298 and 10313031307.

It is not a weakly prime, because it can be changed into another prime (10313031389) 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, 5156515664 + 5156515665.

It is an arithmetic number, because the mean of its divisors is an integer number (5156515665).

Almost surely, 2^10313031329 is an apocalyptic number.

It is an amenable number.

10313031329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313031329 is an equidigital number, since it uses as much as digits as its factorization.

10313031329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 10313031329 in words is "ten billion, three hundred thirteen million, thirty-one thousand, three hundred twenty-nine".