135106320536213 has 16 divisors (see below), whose sum is σ = 148228017215040. Its totient is φ = 122381976146304.

The previous prime is 135106320536207. The next prime is 135106320536237. The reversal of 135106320536213 is 312635023601531.

It is a cyclic number.

It is not a de Polignac number, because 135106320536213 - 2²⁸ = 135106052100757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135106320536273) 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 15 ways as a sum of consecutive naturals, for example, 156006056 + ... + 156869697.

It is an arithmetic number, because the mean of its divisors is an integer number (9264251075940).

Almost surely, 2^{135106320536213} is an apocalyptic number.

135106320536213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135106320536213 is a deficient number, since it is larger than the sum of its proper divisors (13121696678827).

135106320536213 is a wasteful number, since it uses less digits than its factorization.

135106320536213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312876388.

The product of its (nonzero) digits is 291600, while the sum is 41.

The spelling of 135106320536213 in words is "one hundred thirty-five trillion, one hundred six billion, three hundred twenty million, five hundred thirty-six thousand, two hundred thirteen".