13101312300017 has 2 divisors, whose sum is σ = 13101312300018. Its totient is φ = 13101312300016.

The previous prime is 13101312299983. The next prime is 13101312300023. The reversal of 13101312300017 is 71000321310131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12851393293456 + 249919006561 = 3584884^2 + 499919^2 .

It is an emirp because it is prime and its reverse (71000321310131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13101312300017 - 2²⁴ = 13101295522801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13101312299965 and 13101312300001.

It is not a weakly prime, because it can be changed into another prime (13101312300617) 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, 6550656150008 + 6550656150009.

It is an arithmetic number, because the mean of its divisors is an integer number (6550656150009).

Almost surely, 2^{13101312300017} is an apocalyptic number.

It is an amenable number.

13101312300017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101312300017 is an equidigital number, since it uses as much as digits as its factorization.

13101312300017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 13101312300017 its reverse (71000321310131), we get a palindrome (84101633610148).

The spelling of 13101312300017 in words is "thirteen trillion, one hundred one billion, three hundred twelve million, three hundred thousand, seventeen".