13311331131017 has 2 divisors, whose sum is σ = 13311331131018. Its totient is φ = 13311331131016.

The previous prime is 13311331130983. The next prime is 13311331131127. The reversal of 13311331131017 is 71013113311331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11961561185401 + 1349769945616 = 3458549^2 + 1161796^2 .

It is an emirp because it is prime and its reverse (71013113311331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13311331131017 - 2²⁰ = 13311330082441 is a prime.

It is not a weakly prime, because it can be changed into another prime (13311331130017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655665565508 + 6655665565509.

It is an arithmetic number, because the mean of its divisors is an integer number (6655665565509).

Almost surely, 2^{13311331131017} is an apocalyptic number.

It is an amenable number.

13311331131017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311331131017 is an equidigital number, since it uses as much as digits as its factorization.

13311331131017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 29.

Adding to 13311331131017 its reverse (71013113311331), we get a palindrome (84324444442348).

The spelling of 13311331131017 in words is "thirteen trillion, three hundred eleven billion, three hundred thirty-one million, one hundred thirty-one thousand, seventeen".