13205064301 has 16 divisors (see below), whose sum is σ = 15687967680. Its totient is φ = 10956654720.

The previous prime is 13205064283. The next prime is 13205064319. The reversal of 13205064301 is 10346050231.

It is an interprime number because it is at equal distance from previous prime (13205064283) and next prime (13205064319).

It is not a de Polignac number, because 13205064301 - 2¹⁵ = 13205031533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205064361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506055 + ... + 531508.

It is an arithmetic number, because the mean of its divisors is an integer number (980497980).

Almost surely, 2^13205064301 is an apocalyptic number.

13205064301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13205064301 is a deficient number, since it is larger than the sum of its proper divisors (2482903379).

13205064301 is a wasteful number, since it uses less digits than its factorization.

13205064301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037676.

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 13205064301 in words is "thirteen billion, two hundred five million, sixty-four thousand, three hundred one".