13112113012217 has 2 divisors, whose sum is σ = 13112113012218. Its totient is φ = 13112113012216.

The previous prime is 13112113012151. The next prime is 13112113012289. The reversal of 13112113012217 is 71221031121131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12119561091856 + 992551920361 = 3481316^2 + 996269^2 .

It is a cyclic number.

It is not a de Polignac number, because 13112113012217 - 2³⁶ = 13043393535481 is a prime.

It is not a weakly prime, because it can be changed into another prime (13112113912217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556056506108 + 6556056506109.

It is an arithmetic number, because the mean of its divisors is an integer number (6556056506109).

Almost surely, 2^{13112113012217} is an apocalyptic number.

It is an amenable number.

13112113012217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112113012217 is an equidigital number, since it uses as much as digits as its factorization.

13112113012217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 13112113012217 its reverse (71221031121131), we get a palindrome (84333144133348).

The spelling of 13112113012217 in words is "thirteen trillion, one hundred twelve billion, one hundred thirteen million, twelve thousand, two hundred seventeen".