1310320013 has 2 divisors, whose sum is σ = 1310320014. Its totient is φ = 1310320012.

The previous prime is 1310319977. The next prime is 1310320043. The reversal of 1310320013 is 3100230131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1158857764 + 151462249 = 34042^2 + 12307^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310320013 - 2⁶ = 1310319949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1310320013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310320043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655160006 + 655160007.

It is an arithmetic number, because the mean of its divisors is an integer number (655160007).

Almost surely, 2^1310320013 is an apocalyptic number.

It is an amenable number.

1310320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310320013 is an equidigital number, since it uses as much as digits as its factorization.

1310320013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1310320013 is about 36198.3426830566. The cubic root of 1310320013 is about 1094.2732716063.

Adding to 1310320013 its reverse (3100230131), we get a palindrome (4410550144).

The spelling of 1310320013 in words is "one billion, three hundred ten million, three hundred twenty thousand, thirteen".