13221303313311 has 20 divisors (see below), whose sum is σ = 20209652270632. Its totient is φ = 8609220759888.

The previous prime is 13221303313307. The next prime is 13221303313327. The reversal of 13221303313311 is 11331330312231.

13221303313311 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 30 + 3 + 313 + 311 = 666.

It is not a de Polignac number, because 13221303313311 - 2² = 13221303313307 is a prime.

It is a super-3 number, since 3×13221303313311³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221303313381) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1897972876 + ... + 1897979841.

Almost surely, 2^{13221303313311} is an apocalyptic number.

13221303313311 is a deficient number, since it is larger than the sum of its proper divisors (6988348957321).

13221303313311 is an equidigital number, since it uses as much as digits as its factorization.

13221303313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795952772 (or 3795952763 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13221303313311 its reverse (11331330312231), we get a palindrome (24552633625542).

The spelling of 13221303313311 in words is "thirteen trillion, two hundred twenty-one billion, three hundred three million, three hundred thirteen thousand, three hundred eleven".