135331565133531 has 32 divisors (see below), whose sum is σ = 195084360576000. Its totient is φ = 82954469340288.

The previous prime is 135331565133521. The next prime is 135331565133563.

135331565133531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135331565133531 - 2¹⁵ = 135331565100763 is a prime.

It is a super-2 number, since 2×135331565133531² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135331565133521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50294010 + ... + 52916448.

It is an arithmetic number, because the mean of its divisors is an integer number (6096386268000).

Almost surely, 2^{135331565133531} is an apocalyptic number.

135331565133531 is a deficient number, since it is larger than the sum of its proper divisors (59752795442469).

135331565133531 is a wasteful number, since it uses less digits than its factorization.

135331565133531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627643.

The product of its digits is 2733750, while the sum is 48.

The spelling of 135331565133531 in words is "one hundred thirty-five trillion, three hundred thirty-one billion, five hundred sixty-five million, one hundred thirty-three thousand, five hundred thirty-one".