13222221313311 has 16 divisors (see below), whose sum is σ = 19676316728320. Its totient is φ = 8775285890040.

The previous prime is 13222221313303. The next prime is 13222221313453. The reversal of 13222221313311 is 11331312222231.

13222221313311 is a `hidden beast` number, since 1 + 32 + 2 + 2 + 2 + 2 + 1 + 313 + 311 = 666.

It is not a de Polignac number, because 13222221313311 - 2³ = 13222221313303 is a prime.

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 (13222221313111) 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 15 ways as a sum of consecutive naturals, for example, 1098002725 + ... + 1098014766.

It is an arithmetic number, because the mean of its divisors is an integer number (1229769795520).

Almost surely, 2^{13222221313311} is an apocalyptic number.

13222221313311 is a deficient number, since it is larger than the sum of its proper divisors (6454095415009).

13222221313311 is a wasteful number, since it uses less digits than its factorization.

13222221313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196017723 (or 2196017717 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13222221313311 its reverse (11331312222231), we get a palindrome (24553533535542).

The spelling of 13222221313311 in words is "thirteen trillion, two hundred twenty-two billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred eleven".