13031221330305 has 24 divisors (see below), whose sum is σ = 22659614708328. Its totient is φ = 6927780278016.

The previous prime is 13031221330289. The next prime is 13031221330363. The reversal of 13031221330305 is 50303312213031.

13031221330305 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 1 + 2 + 21 + 330 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 417586071681 + 12613635258624 = 646209^2 + 3551568^2 .

It is not a de Polignac number, because 13031221330305 - 2⁴ = 13031221330289 is a prime.

It is a super-2 number, since 2×13031221330305² (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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462578082 + ... + 462606251.

It is an arithmetic number, because the mean of its divisors is an integer number (944150612847).

Almost surely, 2^{13031221330305} is an apocalyptic number.

13031221330305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13031221330305 is a deficient number, since it is larger than the sum of its proper divisors (9628393378023).

13031221330305 is a wasteful number, since it uses less digits than its factorization.

13031221330305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925184657 (or 925184654 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 13031221330305 its reverse (50303312213031), we get a palindrome (63334533543336).

The spelling of 13031221330305 in words is "thirteen trillion, thirty-one billion, two hundred twenty-one million, three hundred thirty thousand, three hundred five".