1313123311013 has 2 divisors, whose sum is σ = 1313123311014. Its totient is φ = 1313123311012.

The previous prime is 1313123311007. The next prime is 1313123311061. The reversal of 1313123311013 is 3101133213131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1295094072484 + 18029238529 = 1138022^2 + 134273^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313123311013 - 2¹⁰ = 1313123309989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1313123311013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313123311813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656561655506 + 656561655507.

It is an arithmetic number, because the mean of its divisors is an integer number (656561655507).

Almost surely, 2^{1313123311013} is an apocalyptic number.

It is an amenable number.

1313123311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313123311013 is an equidigital number, since it uses as much as digits as its factorization.

1313123311013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1313123311013 its reverse (3101133213131), we get a palindrome (4414256524144).

The spelling of 1313123311013 in words is "one trillion, three hundred thirteen billion, one hundred twenty-three million, three hundred eleven thousand, thirteen".