12113301122033 has 2 divisors, whose sum is σ = 12113301122034. Its totient is φ = 12113301122032.

The previous prime is 12113301122003. The next prime is 12113301122047. The reversal of 12113301122033 is 33022110331121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6474846663184 + 5638454458849 = 2544572^2 + 2374543^2 .

It is a cyclic number.

It is not a de Polignac number, because 12113301122033 - 2⁶ = 12113301121969 is a prime.

It is not a weakly prime, because it can be changed into another prime (12113301122003) 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, 6056650561016 + 6056650561017.

It is an arithmetic number, because the mean of its divisors is an integer number (6056650561017).

Almost surely, 2^{12113301122033} is an apocalyptic number.

It is an amenable number.

12113301122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12113301122033 is an equidigital number, since it uses as much as digits as its factorization.

12113301122033 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 12113301122033 its reverse (33022110331121), we get a palindrome (45135411453154).

The spelling of 12113301122033 in words is "twelve trillion, one hundred thirteen billion, three hundred one million, one hundred twenty-two thousand, thirty-three".