12011012121133 has 2 divisors, whose sum is σ = 12011012121134. Its totient is φ = 12011012121132.

The previous prime is 12011012121089. The next prime is 12011012121139. The reversal of 12011012121133 is 33112121011021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11604800922724 + 406211198409 = 3406582^2 + 637347^2 .

It is a cyclic number.

It is not a de Polignac number, because 12011012121133 - 2¹³ = 12011012112941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12011012121133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12011012121139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005506060566 + 6005506060567.

It is an arithmetic number, because the mean of its divisors is an integer number (6005506060567).

Almost surely, 2^{12011012121133} is an apocalyptic number.

It is an amenable number.

12011012121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011012121133 is an equidigital number, since it uses as much as digits as its factorization.

12011012121133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 12011012121133 its reverse (33112121011021), we get a palindrome (45123133132154).

The spelling of 12011012121133 in words is "twelve trillion, eleven billion, twelve million, one hundred twenty-one thousand, one hundred thirty-three".