1031313023329 has 2 divisors, whose sum is σ = 1031313023330. Its totient is φ = 1031313023328.

The previous prime is 1031313023263. The next prime is 1031313023347. The reversal of 1031313023329 is 9233203131301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 881871246400 + 149441776929 = 939080^2 + 386577^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031313023329 - 2¹⁷ = 1031312892257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1031313023329.

It is not a weakly prime, because it can be changed into another prime (1031313033329) 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, 515656511664 + 515656511665.

It is an arithmetic number, because the mean of its divisors is an integer number (515656511665).

Almost surely, 2^{1031313023329} is an apocalyptic number.

It is an amenable number.

1031313023329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031313023329 is an equidigital number, since it uses as much as digits as its factorization.

1031313023329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 1031313023329 in words is "one trillion, thirty-one billion, three hundred thirteen million, twenty-three thousand, three hundred twenty-nine".