13130413212317 has 2 divisors, whose sum is σ = 13130413212318. Its totient is φ = 13130413212316.

The previous prime is 13130413212307. The next prime is 13130413212361. The reversal of 13130413212317 is 71321231403131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10268313945241 + 2862099267076 = 3204421^2 + 1691774^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130413212317 - 2⁸ = 13130413212061 is a prime.

It is a super-2 number, since 2×13130413212317² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13130413212307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565206606158 + 6565206606159.

It is an arithmetic number, because the mean of its divisors is an integer number (6565206606159).

Almost surely, 2^{13130413212317} is an apocalyptic number.

It is an amenable number.

13130413212317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130413212317 is an equidigital number, since it uses as much as digits as its factorization.

13130413212317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 13130413212317 its reverse (71321231403131), we get a palindrome (84451644615448).

The spelling of 13130413212317 in words is "thirteen trillion, one hundred thirty billion, four hundred thirteen million, two hundred twelve thousand, three hundred seventeen".