12211123312133 has 2 divisors, whose sum is σ = 12211123312134. Its totient is φ = 12211123312132.

The previous prime is 12211123312123. The next prime is 12211123312153. The reversal of 12211123312133 is 33121332111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9256787995009 + 2954335317124 = 3042497^2 + 1718818^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211123312133 - 2¹⁰ = 12211123311109 is a prime.

It is a super-2 number, since 2×12211123312133² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211123312123) 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 as a sum of consecutive naturals, namely, 6105561656066 + 6105561656067.

It is an arithmetic number, because the mean of its divisors is an integer number (6105561656067).

Almost surely, 2^{12211123312133} is an apocalyptic number.

It is an amenable number.

12211123312133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211123312133 is an equidigital number, since it uses as much as digits as its factorization.

12211123312133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 26.

Adding to 12211123312133 its reverse (33121332111221), we get a palindrome (45332455423354).

The spelling of 12211123312133 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-three million, three hundred twelve thousand, one hundred thirty-three".