135511312413017 has 2 divisors, whose sum is σ = 135511312413018. Its totient is φ = 135511312413016.

The previous prime is 135511312412981. The next prime is 135511312413041. The reversal of 135511312413017 is 710314213115531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127755638833216 + 7755673579801 = 11302904^2 + 2784901^2 .

It is a cyclic number.

It is not a de Polignac number, because 135511312413017 - 2⁶ = 135511312412953 is a prime.

It is not a weakly prime, because it can be changed into another prime (135511312413047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67755656206508 + 67755656206509.

It is an arithmetic number, because the mean of its divisors is an integer number (67755656206509).

Almost surely, 2^{135511312413017} is an apocalyptic number.

It is an amenable number.

135511312413017 is a deficient number, since it is larger than the sum of its proper divisors (1).

135511312413017 is an equidigital number, since it uses as much as digits as its factorization.

135511312413017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

Adding to 135511312413017 its reverse (710314213115531), we get a palindrome (845825525528548).

The spelling of 135511312413017 in words is "one hundred thirty-five trillion, five hundred eleven billion, three hundred twelve million, four hundred thirteen thousand, seventeen".