12133321222311 has 64 divisors (see below), whose sum is σ = 19552028261760. Its totient is φ = 7405421967360.

The previous prime is 12133321222207. The next prime is 12133321222313. The reversal of 12133321222311 is 11322212333121.

12133321222311 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 321 + 2 + 22 + 311 = 666.

It is not a de Polignac number, because 12133321222311 - 2¹¹ = 12133321220263 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133321222313) 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 63 ways as a sum of consecutive naturals, for example, 68199805 + ... + 68377481.

It is an arithmetic number, because the mean of its divisors is an integer number (305500441590).

Almost surely, 2^{12133321222311} is an apocalyptic number.

12133321222311 is a deficient number, since it is larger than the sum of its proper divisors (7418707039449).

12133321222311 is a wasteful number, since it uses less digits than its factorization.

12133321222311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181761 (or 181755 counting only the distinct ones).

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

Adding to 12133321222311 its reverse (11322212333121), we get a palindrome (23455533555432).

The spelling of 12133321222311 in words is "twelve trillion, one hundred thirty-three billion, three hundred twenty-one million, two hundred twenty-two thousand, three hundred eleven".