13123133117 has 2 divisors, whose sum is σ = 13123133118. Its totient is φ = 13123133116.

The previous prime is 13123133083. The next prime is 13123133129. The reversal of 13123133117 is 71133132131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12993492121 + 129640996 = 113989^2 + 11386^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123133117 - 2¹⁴ = 13123116733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123135117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561566558 + 6561566559.

It is an arithmetic number, because the mean of its divisors is an integer number (6561566559).

Almost surely, 2^13123133117 is an apocalyptic number.

It is an amenable number.

13123133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123133117 is an equidigital number, since it uses as much as digits as its factorization.

13123133117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

Adding to 13123133117 its reverse (71133132131), we get a palindrome (84256265248).

The spelling of 13123133117 in words is "thirteen billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred seventeen".