12013130312033 has 2 divisors, whose sum is σ = 12013130312034. Its totient is φ = 12013130312032.

The previous prime is 12013130312023. The next prime is 12013130312039. The reversal of 12013130312033 is 33021303131021.

12013130312033 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., 8709067938769 + 3304062373264 = 2951113^2 + 1817708^2 .

It is an emirp because it is prime and its reverse (33021303131021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12013130312033 - 2⁴ = 12013130312017 is a prime.

It is not a weakly prime, because it can be changed into another prime (12013130312039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6006565156016 + 6006565156017.

It is an arithmetic number, because the mean of its divisors is an integer number (6006565156017).

Almost surely, 2^{12013130312033} is an apocalyptic number.

It is an amenable number.

12013130312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12013130312033 is an equidigital number, since it uses as much as digits as its factorization.

12013130312033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 12013130312033 its reverse (33021303131021), we get a palindrome (45034433443054).

The spelling of 12013130312033 in words is "twelve trillion, thirteen billion, one hundred thirty million, three hundred twelve thousand, thirty-three".