12111133124033 has 2 divisors, whose sum is σ = 12111133124034. Its totient is φ = 12111133124032.

The previous prime is 12111133123939. The next prime is 12111133124047. The reversal of 12111133124033 is 33042133111121.

12111133124033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12042898802944 + 68234321089 = 3470288^2 + 261217^2 .

It is an emirp because it is prime and its reverse (33042133111121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12111133124033 - 2⁸ = 12111133123777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111133123993 and 12111133124011.

It is not a weakly prime, because it can be changed into another prime (12111133124053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055566562016 + 6055566562017.

It is an arithmetic number, because the mean of its divisors is an integer number (6055566562017).

Almost surely, 2^{12111133124033} is an apocalyptic number.

It is an amenable number.

12111133124033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111133124033 is an equidigital number, since it uses as much as digits as its factorization.

12111133124033 is an evil number, because the sum of its binary digits is even.

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

Adding to 12111133124033 its reverse (33042133111121), we get a palindrome (45153266235154).

The spelling of 12111133124033 in words is "twelve trillion, one hundred eleven billion, one hundred thirty-three million, one hundred twenty-four thousand, thirty-three".