13431506260897 has 2 divisors, whose sum is σ = 13431506260898. Its totient is φ = 13431506260896.

The previous prime is 13431506260889. The next prime is 13431506260933. The reversal of 13431506260897 is 79806260513431.

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., 13416096514401 + 15409746496 = 3662799^2 + 124136^2 .

It is a cyclic number.

It is not a de Polignac number, because 13431506260897 - 2³ = 13431506260889 is a prime.

It is not a weakly prime, because it can be changed into another prime (13431506260807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6715753130448 + 6715753130449.

It is an arithmetic number, because the mean of its divisors is an integer number (6715753130449).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13431506260897 = 26863012521794, but 3⋅13431506260897 = 40294518782691 is not.

Almost surely, 2^{13431506260897} is an apocalyptic number.

It is an amenable number.

13431506260897 is a deficient number, since it is larger than the sum of its proper divisors (1).

13431506260897 is an equidigital number, since it uses as much as digits as its factorization.

13431506260897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 13431506260897 in words is "thirteen trillion, four hundred thirty-one billion, five hundred six million, two hundred sixty thousand, eight hundred ninety-seven".