12002033020013 has 2 divisors, whose sum is σ = 12002033020014. Its totient is φ = 12002033020012.

The previous prime is 12002033019943. The next prime is 12002033020039. The reversal of 12002033020013 is 31002033020021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8490539305609 + 3511493714404 = 2913853^2 + 1873898^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002033020013 - 2¹⁴ = 12002033003629 is a prime.

It is a super-2 number, since 2×12002033020013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12002033019973 and 12002033020000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002033020063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001016510006 + 6001016510007.

It is an arithmetic number, because the mean of its divisors is an integer number (6001016510007).

Almost surely, 2^{12002033020013} is an apocalyptic number.

It is an amenable number.

12002033020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002033020013 is an equidigital number, since it uses as much as digits as its factorization.

12002033020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12002033020013 its reverse (31002033020021), we get a palindrome (43004066040034).

The spelling of 12002033020013 in words is "twelve trillion, two billion, thirty-three million, twenty thousand, thirteen".