13021300305 has 96 divisors (see below), whose sum is σ = 25875158400. Its totient is φ = 6004399104.

The previous prime is 13021300289. The next prime is 13021300319. The reversal of 13021300305 is 50300312031.

It is not a de Polignac number, because 13021300305 - 2⁴ = 13021300289 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982654 + ... + 995816.

It is an arithmetic number, because the mean of its divisors is an integer number (269532900).

Almost surely, 2^13021300305 is an apocalyptic number.

13021300305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13021300305 is a deficient number, since it is larger than the sum of its proper divisors (12853858095).

13021300305 is a wasteful number, since it uses less digits than its factorization.

13021300305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13295 (or 13292 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 13021300305 its reverse (50300312031), we get a palindrome (63321612336).

The spelling of 13021300305 in words is "thirteen billion, twenty-one million, three hundred thousand, three hundred five".