12012002100013 has 2 divisors, whose sum is σ = 12012002100014. Its totient is φ = 12012002100012.

The previous prime is 12012002099897. The next prime is 12012002100037. The reversal of 12012002100013 is 31000120021021.

12012002100013 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., 11884311653769 + 127690446244 = 3447363^2 + 357338^2 .

It is a cyclic number.

It is not a de Polignac number, because 12012002100013 - 2³⁷ = 11874563146541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12012002099966 and 12012002100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12012002100053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6006001050006 + 6006001050007.

It is an arithmetic number, because the mean of its divisors is an integer number (6006001050007).

Almost surely, 2^{12012002100013} is an apocalyptic number.

It is an amenable number.

12012002100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12012002100013 is an equidigital number, since it uses as much as digits as its factorization.

12012002100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12012002100013 its reverse (31000120021021), we get a palindrome (43012122121034).

The spelling of 12012002100013 in words is "twelve trillion, twelve billion, two million, one hundred thousand, thirteen".