1313031322313 has 2 divisors, whose sum is σ = 1313031322314. Its totient is φ = 1313031322312.

The previous prime is 1313031322307. The next prime is 1313031322327. The reversal of 1313031322313 is 3132231303131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1152977717824 + 160053604489 = 1073768^2 + 400067^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313031322313 - 2³⁶ = 1244311845577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313031322913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656515661156 + 656515661157.

It is an arithmetic number, because the mean of its divisors is an integer number (656515661157).

Almost surely, 2^{1313031322313} is an apocalyptic number.

It is an amenable number.

1313031322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313031322313 is an equidigital number, since it uses as much as digits as its factorization.

1313031322313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1313031322313 its reverse (3132231303131), we get a palindrome (4445262625444).

The spelling of 1313031322313 in words is "one trillion, three hundred thirteen billion, thirty-one million, three hundred twenty-two thousand, three hundred thirteen".