13221211311 has 72 divisors (see below), whose sum is σ = 25132633344. Its totient is φ = 6868093680.

The previous prime is 13221211303. The next prime is 13221211337. The reversal of 13221211311 is 11311212231.

13221211311 is a `hidden beast` number, since 132 + 212 + 11 + 311 = 666.

13221211311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13221211311 - 2³ = 13221211303 is a prime.

It is a super-2 number, since 2×13221211311² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221211391) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 80506 + ... + 181448.

It is an arithmetic number, because the mean of its divisors is an integer number (349064352).

Almost surely, 2^13221211311 is an apocalyptic number.

13221211311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13221211311 is a deficient number, since it is larger than the sum of its proper divisors (11911422033).

13221211311 is a wasteful number, since it uses less digits than its factorization.

13221211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100983 (or 100964 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 13221211311 its reverse (11311212231), we get a palindrome (24532423542).

The spelling of 13221211311 in words is "thirteen billion, two hundred twenty-one million, two hundred eleven thousand, three hundred eleven".