1311116265133 has 2 divisors, whose sum is σ = 1311116265134. Its totient is φ = 1311116265132.

The previous prime is 1311116265091. The next prime is 1311116265157. The reversal of 1311116265133 is 3315626111131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 737163050724 + 573953214409 = 858582^2 + 757597^2 .

It is an emirp because it is prime and its reverse (3315626111131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1311116265133 - 2⁹ = 1311116264621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311116260133) 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, 655558132566 + 655558132567.

It is an arithmetic number, because the mean of its divisors is an integer number (655558132567).

Almost surely, 2^{1311116265133} is an apocalyptic number.

It is an amenable number.

1311116265133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311116265133 is an equidigital number, since it uses as much as digits as its factorization.

1311116265133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 34.

The spelling of 1311116265133 in words is "one trillion, three hundred eleven billion, one hundred sixteen million, two hundred sixty-five thousand, one hundred thirty-three".