13111023322013 has 2 divisors, whose sum is σ = 13111023322014. Its totient is φ = 13111023322012.

The previous prime is 13111023322009. The next prime is 13111023322073. The reversal of 13111023322013 is 31022332011131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13038143840569 + 72879481444 = 3610837^2 + 269962^2 .

It is a cyclic number.

It is not a de Polignac number, because 13111023322013 - 2² = 13111023322009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13111023322013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13111023322073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555511661006 + 6555511661007.

It is an arithmetic number, because the mean of its divisors is an integer number (6555511661007).

Almost surely, 2^{13111023322013} is an apocalyptic number.

It is an amenable number.

13111023322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13111023322013 is an equidigital number, since it uses as much as digits as its factorization.

13111023322013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13111023322013 its reverse (31022332011131), we get a palindrome (44133355333144).

The spelling of 13111023322013 in words is "thirteen trillion, one hundred eleven billion, twenty-three million, three hundred twenty-two thousand, thirteen".