13134355605306 has 48 divisors (see below), whose sum is σ = 30647143898280. Its totient is φ = 4041298759680.

The previous prime is 13134355605269. The next prime is 13134355605323. The reversal of 13134355605306 is 60350655343131.

13134355605306 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 3 + 5 + 5 + 605 + 30 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7221360933081 + 5912994672225 = 2687259^2 + 2431665^2 .

It is a super-2 number, since 2×13134355605306² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 28904986 + ... + 29355866.

Almost surely, 2^{13134355605306} is an apocalyptic number.

13134355605306 is an abundant number, since it is smaller than the sum of its proper divisors (17512788292974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13134355605306 is a wasteful number, since it uses less digits than its factorization.

13134355605306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575391 (or 575388 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 13134355605306 in words is "thirteen trillion, one hundred thirty-four billion, three hundred fifty-five million, six hundred five thousand, three hundred six".