12131316317 has 2 divisors, whose sum is σ = 12131316318. Its totient is φ = 12131316316.

The previous prime is 12131316313. The next prime is 12131316319. The reversal of 12131316317 is 71361313121.

12131316317 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., 6617659801 + 5513656516 = 81349^2 + 74254^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131316317 - 2² = 12131316313 is a prime.

It is a super-2 number, since 2×12131316317² (a number of 21 digits) contains 22 as substring.

Together with 12131316319, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12131316317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131316313) 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, 6065658158 + 6065658159.

It is an arithmetic number, because the mean of its divisors is an integer number (6065658159).

Almost surely, 2^12131316317 is an apocalyptic number.

It is an amenable number.

12131316317 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131316317 is an equidigital number, since it uses as much as digits as its factorization.

12131316317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 29.

Adding to 12131316317 its reverse (71361313121), we get a palindrome (83492629438).

The spelling of 12131316317 in words is "twelve billion, one hundred thirty-one million, three hundred sixteen thousand, three hundred seventeen".