1311314131117 has 2 divisors, whose sum is σ = 1311314131118. Its totient is φ = 1311314131116.

The previous prime is 1311314131093. The next prime is 1311314131139. The reversal of 1311314131117 is 7111314131131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 994126649481 + 317187481636 = 997059^2 + 563194^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311314131117 - 2³⁹ = 761558317229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311314131147) 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, 655657065558 + 655657065559.

It is an arithmetic number, because the mean of its divisors is an integer number (655657065559).

Almost surely, 2^{1311314131117} is an apocalyptic number.

It is an amenable number.

1311314131117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311314131117 is an equidigital number, since it uses as much as digits as its factorization.

1311314131117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 28.

Adding to 1311314131117 its reverse (7111314131131), we get a palindrome (8422628262248).

The spelling of 1311314131117 in words is "one trillion, three hundred eleven billion, three hundred fourteen million, one hundred thirty-one thousand, one hundred seventeen".