13331122117 has 2 divisors, whose sum is σ = 13331122118. Its totient is φ = 13331122116.

The previous prime is 13331122087. The next prime is 13331122177. The reversal of 13331122117 is 71122113331.

13331122117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6706627236 + 6624494881 = 81894^2 + 81391^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331122117 - 2¹⁵ = 13331089349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13331122091 and 13331122100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331122177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665561058 + 6665561059.

It is an arithmetic number, because the mean of its divisors is an integer number (6665561059).

Almost surely, 2^13331122117 is an apocalyptic number.

It is an amenable number.

13331122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331122117 is an equidigital number, since it uses as much as digits as its factorization.

13331122117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 25.

Adding to 13331122117 its reverse (71122113331), we get a palindrome (84453235448).

The spelling of 13331122117 in words is "thirteen billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred seventeen".