135005400535311 has 12 divisors (see below), whose sum is σ = 195155645976720. Its totient is φ = 89935364109120.

The previous prime is 135005400535253. The next prime is 135005400535351. The reversal of 135005400535311 is 113535004500531.

135005400535311 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 540 + 0 + 53 + 53 + 11 = 666.

It is not a de Polignac number, because 135005400535311 - 2¹⁰ = 135005400534287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135005400535351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5686341450 + ... + 5686365191.

It is an arithmetic number, because the mean of its divisors is an integer number (16262970498060).

Almost surely, 2^{135005400535311} is an apocalyptic number.

135005400535311 is a deficient number, since it is larger than the sum of its proper divisors (60150245441409).

135005400535311 is a wasteful number, since it uses less digits than its factorization.

135005400535311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11372707966 (or 11372707963 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 135005400535311 in words is "one hundred thirty-five trillion, five billion, four hundred million, five hundred thirty-five thousand, three hundred eleven".