13201322311013 has 16 divisors (see below), whose sum is σ = 13297082791680. Its totient is φ = 13105886270400.

The previous prime is 13201322310971. The next prime is 13201322311019. The reversal of 13201322311013 is 31011322310231.

It is a cyclic number.

It is not a de Polignac number, because 13201322311013 - 2¹² = 13201322306917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13201322311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201322311019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708330131 + ... + 708348767.

It is an arithmetic number, because the mean of its divisors is an integer number (831067674480).

Almost surely, 2^{13201322311013} is an apocalyptic number.

It is an amenable number.

13201322311013 is a deficient number, since it is larger than the sum of its proper divisors (95760480667).

13201322311013 is a wasteful number, since it uses less digits than its factorization.

13201322311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27068.

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

Adding to 13201322311013 its reverse (31011322310231), we get a palindrome (44212644621244).

The spelling of 13201322311013 in words is "thirteen trillion, two hundred one billion, three hundred twenty-two million, three hundred eleven thousand, thirteen".