13031310312217 has 2 divisors, whose sum is σ = 13031310312218. Its totient is φ = 13031310312216.

The previous prime is 13031310312197. The next prime is 13031310312247. The reversal of 13031310312217 is 71221301313031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12583968717321 + 447341594896 = 3547389^2 + 668836^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031310312217 - 2¹¹ = 13031310310169 is a prime.

It is not a weakly prime, because it can be changed into another prime (13031310312247) 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, 6515655156108 + 6515655156109.

It is an arithmetic number, because the mean of its divisors is an integer number (6515655156109).

Almost surely, 2^{13031310312217} is an apocalyptic number.

It is an amenable number.

13031310312217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031310312217 is an equidigital number, since it uses as much as digits as its factorization.

13031310312217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 13031310312217 its reverse (71221301313031), we get a palindrome (84252611625248).

The spelling of 13031310312217 in words is "thirteen trillion, thirty-one billion, three hundred ten million, three hundred twelve thousand, two hundred seventeen".