12331034013217 has 2 divisors, whose sum is σ = 12331034013218. Its totient is φ = 12331034013216.

The previous prime is 12331034013107. The next prime is 12331034013251. The reversal of 12331034013217 is 71231043013321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12228197709456 + 102836303761 = 3496884^2 + 320681^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331034013217 - 2³⁵ = 12296674274849 is a prime.

It is a super-2 number, since 2×12331034013217² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12331034013257) 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, 6165517006608 + 6165517006609.

It is an arithmetic number, because the mean of its divisors is an integer number (6165517006609).

Almost surely, 2^{12331034013217} is an apocalyptic number.

It is an amenable number.

12331034013217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331034013217 is an equidigital number, since it uses as much as digits as its factorization.

12331034013217 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 31.

Adding to 12331034013217 its reverse (71231043013321), we get a palindrome (83562077026538).

The spelling of 12331034013217 in words is "twelve trillion, three hundred thirty-one billion, thirty-four million, thirteen thousand, two hundred seventeen".