13221313321311 has 6 divisors (see below), whose sum is σ = 19097452575240. Its totient is φ = 8814208880868.

The previous prime is 13221313321309. The next prime is 13221313321331. The reversal of 13221313321311 is 11312331312231.

13221313321311 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 313 + 32 + 1 + 311 = 666.

It is not a de Polignac number, because 13221313321311 - 2¹ = 13221313321309 is a prime.

It is a super-3 number, since 3×13221313321311³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221313321331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 734517406731 + ... + 734517406748.

It is an arithmetic number, because the mean of its divisors is an integer number (3182908762540).

Almost surely, 2^{13221313321311} is an apocalyptic number.

13221313321311 is a deficient number, since it is larger than the sum of its proper divisors (5876139253929).

13221313321311 is a wasteful number, since it uses less digits than its factorization.

13221313321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469034813485 (or 1469034813482 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13221313321311 its reverse (11312331312231), we get a palindrome (24533644633542).

The spelling of 13221313321311 in words is "thirteen trillion, two hundred twenty-one billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred eleven".