13130311321313 has 2 divisors, whose sum is σ = 13130311321314. Its totient is φ = 13130311321312.

The previous prime is 13130311321297. The next prime is 13130311321327. The reversal of 13130311321313 is 31312311303131.

13130311321313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9025890593344 + 4104420727969 = 3004312^2 + 2025937^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130311321313 - 2⁴ = 13130311321297 is a prime.

It is not a weakly prime, because it can be changed into another prime (13130311329313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565155660656 + 6565155660657.

It is an arithmetic number, because the mean of its divisors is an integer number (6565155660657).

Almost surely, 2^{13130311321313} is an apocalyptic number.

It is an amenable number.

13130311321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130311321313 is an equidigital number, since it uses as much as digits as its factorization.

13130311321313 is an evil number, because the sum of its binary digits is even.

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

Adding to 13130311321313 its reverse (31312311303131), we get a palindrome (44442622624444).

The spelling of 13130311321313 in words is "thirteen trillion, one hundred thirty billion, three hundred eleven million, three hundred twenty-one thousand, three hundred thirteen".