135505541154331 has 2 divisors, whose sum is σ = 135505541154332. Its totient is φ = 135505541154330.

The previous prime is 135505541154329. The next prime is 135505541154377. The reversal of 135505541154331 is 133451145505531.

It is a happy number.

It is an a-pointer prime, because the next prime (135505541154377) can be obtained adding 135505541154331 to its sum of digits (46).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 135505541154331 - 2¹ = 135505541154329 is a prime.

It is a super-3 number, since 3×135505541154331³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 135505541154329, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (135505541154301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67752770577165 + 67752770577166.

It is an arithmetic number, because the mean of its divisors is an integer number (67752770577166).

Almost surely, 2^{135505541154331} is an apocalyptic number.

135505541154331 is a deficient number, since it is larger than the sum of its proper divisors (1).

135505541154331 is an equidigital number, since it uses as much as digits as its factorization.

135505541154331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350000, while the sum is 46.

Adding to 135505541154331 its reverse (133451145505531), we get a palindrome (268956686659862).

The spelling of 135505541154331 in words is "one hundred thirty-five trillion, five hundred five billion, five hundred forty-one million, one hundred fifty-four thousand, three hundred thirty-one".