12011321312033 has 2 divisors, whose sum is σ = 12011321312034. Its totient is φ = 12011321312032.

The previous prime is 12011321311987. The next prime is 12011321312063. The reversal of 12011321312033 is 33021312311021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7976879489569 + 4034441822464 = 2824337^2 + 2008592^2 .

It is a cyclic number.

It is not a de Polignac number, because 12011321312033 - 2¹⁰ = 12011321311009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12011321312063) 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, 6005660656016 + 6005660656017.

It is an arithmetic number, because the mean of its divisors is an integer number (6005660656017).

Almost surely, 2^{12011321312033} is an apocalyptic number.

It is an amenable number.

12011321312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011321312033 is an equidigital number, since it uses as much as digits as its factorization.

12011321312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12011321312033 its reverse (33021312311021), we get a palindrome (45032633623054).

The spelling of 12011321312033 in words is "twelve trillion, eleven billion, three hundred twenty-one million, three hundred twelve thousand, thirty-three".