13134355605305 has 64 divisors (see below), whose sum is σ = 17654829590016. Its totient is φ = 9299546880000.

The previous prime is 13134355605269. The next prime is 13134355605323. The reversal of 13134355605305 is 50350655343131.

It is a happy number.

It is not a de Polignac number, because 13134355605305 - 2²⁴ = 13134338828089 is a prime.

It is a super-2 number, since 2×13134355605305² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1624127972 + ... + 1624136058.

It is an arithmetic number, because the mean of its divisors is an integer number (275856712344).

Almost surely, 2^{13134355605305} is an apocalyptic number.

It is an amenable number.

13134355605305 is a deficient number, since it is larger than the sum of its proper divisors (4520473984711).

13134355605305 is a wasteful number, since it uses less digits than its factorization.

13134355605305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058.

The product of its (nonzero) digits is 1215000, while the sum is 44.

The spelling of 13134355605305 in words is "thirteen trillion, one hundred thirty-four billion, three hundred fifty-five million, six hundred five thousand, three hundred five".