12002031113113 has 2 divisors, whose sum is σ = 12002031113114. Its totient is φ = 12002031113112.

The previous prime is 12002031113081. The next prime is 12002031113131. The reversal of 12002031113113 is 31131113020021.

12002031113113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (12002031113131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11494079845264 + 507951267849 = 3390292^2 + 712707^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002031113113 - 2⁵ = 12002031113081 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002031113143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001015556556 + 6001015556557.

It is an arithmetic number, because the mean of its divisors is an integer number (6001015556557).

Almost surely, 2^{12002031113113} is an apocalyptic number.

It is an amenable number.

12002031113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002031113113 is an equidigital number, since it uses as much as digits as its factorization.

12002031113113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12002031113113 its reverse (31131113020021), we get a palindrome (43133144133134).

The spelling of 12002031113113 in words is "twelve trillion, two billion, thirty-one million, one hundred thirteen thousand, one hundred thirteen".