12133122322133 has 2 divisors, whose sum is σ = 12133122322134. Its totient is φ = 12133122322132.

The previous prime is 12133122322103. The next prime is 12133122322147. The reversal of 12133122322133 is 33122322133121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11797253392369 + 335868929764 = 3434713^2 + 579542^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133122322133 - 2²⁰ = 12133121273557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12133122322096 and 12133122322105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12133122322103) 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, 6066561161066 + 6066561161067.

It is an arithmetic number, because the mean of its divisors is an integer number (6066561161067).

Almost surely, 2^{12133122322133} is an apocalyptic number.

It is an amenable number.

12133122322133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133122322133 is an equidigital number, since it uses as much as digits as its factorization.

12133122322133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 29.

Adding to 12133122322133 its reverse (33122322133121), we get a palindrome (45255444455254).

The spelling of 12133122322133 in words is "twelve trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred thirty-three".