13431111344249 has 2 divisors, whose sum is σ = 13431111344250. Its totient is φ = 13431111344248.

The previous prime is 13431111344173. The next prime is 13431111344293. The reversal of 13431111344249 is 94244311113431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12445125895225 + 985985449024 = 3527765^2 + 992968^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13431111344249 is a prime.

It is a super-2 number, since 2×13431111344249² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13431111344149) 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, 6715555672124 + 6715555672125.

It is an arithmetic number, because the mean of its divisors is an integer number (6715555672125).

Almost surely, 2^{13431111344249} is an apocalyptic number.

It is an amenable number.

13431111344249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13431111344249 is an equidigital number, since it uses as much as digits as its factorization.

13431111344249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 41.

The spelling of 13431111344249 in words is "thirteen trillion, four hundred thirty-one billion, one hundred eleven million, three hundred forty-four thousand, two hundred forty-nine".