135310553162213 has 16 divisors (see below), whose sum is σ = 158997981240000. Its totient is φ = 113524648078080.

The previous prime is 135310553162129. The next prime is 135310553162221. The reversal of 135310553162213 is 312261355013531.

It is a cyclic number.

It is not a de Polignac number, because 135310553162213 - 2²⁴ = 135310536384997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135310553162243) 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, 93736463 + ... + 95169036.

It is an arithmetic number, because the mean of its divisors is an integer number (9937373827500).

Almost surely, 2^{135310553162213} is an apocalyptic number.

135310553162213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135310553162213 is a deficient number, since it is larger than the sum of its proper divisors (23687428077787).

135310553162213 is a wasteful number, since it uses less digits than its factorization.

135310553162213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188910532.

The product of its (nonzero) digits is 243000, while the sum is 41.

The spelling of 135310553162213 in words is "one hundred thirty-five trillion, three hundred ten billion, five hundred fifty-three million, one hundred sixty-two thousand, two hundred thirteen".