13005440733273 has 16 divisors (see below), whose sum is σ = 17349654015936. Its totient is φ = 8665761688640.

The previous prime is 13005440733199. The next prime is 13005440733283. The reversal of 13005440733273 is 37233704450031.

It is a cyclic number.

It is not a de Polignac number, because 13005440733273 - 2¹⁷ = 13005440602201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13005440733283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51032515 + ... + 51286727.

It is an arithmetic number, because the mean of its divisors is an integer number (1084353375996).

Almost surely, 2^{13005440733273} is an apocalyptic number.

It is an amenable number.

13005440733273 is a deficient number, since it is larger than the sum of its proper divisors (4344213282663).

13005440733273 is a wasteful number, since it uses less digits than its factorization.

13005440733273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263064.

The product of its (nonzero) digits is 635040, while the sum is 42.

The spelling of 13005440733273 in words is "thirteen trillion, five billion, four hundred forty million, seven hundred thirty-three thousand, two hundred seventy-three".