13313242221113 has 2 divisors, whose sum is σ = 13313242221114. Its totient is φ = 13313242221112.

The previous prime is 13313242221079. The next prime is 13313242221127. The reversal of 13313242221113 is 31112224231331.

13313242221113 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., 13312668714409 + 573506704 = 3648653^2 + 23948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13313242221113 is a prime.

It is not a weakly prime, because it can be changed into another prime (13313242521113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656621110556 + 6656621110557.

It is an arithmetic number, because the mean of its divisors is an integer number (6656621110557).

Almost surely, 2^{13313242221113} is an apocalyptic number.

It is an amenable number.

13313242221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313242221113 is an equidigital number, since it uses as much as digits as its factorization.

13313242221113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 29.

Adding to 13313242221113 its reverse (31112224231331), we get a palindrome (44425466452444).

The spelling of 13313242221113 in words is "thirteen trillion, three hundred thirteen billion, two hundred forty-two million, two hundred twenty-one thousand, one hundred thirteen".