12113011113013 has 2 divisors, whose sum is σ = 12113011113014. Its totient is φ = 12113011113012.

The previous prime is 12113011112929. The next prime is 12113011113031. The reversal of 12113011113013 is 31031111031121.

12113011113013 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 (12113011113031) 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., 9612839809764 + 2500171303249 = 3100458^2 + 1581193^2 .

It is a cyclic number.

It is not a de Polignac number, because 12113011113013 - 2¹⁷ = 12113010981941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12113011123013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056505556506 + 6056505556507.

It is an arithmetic number, because the mean of its divisors is an integer number (6056505556507).

Almost surely, 2^{12113011113013} is an apocalyptic number.

It is an amenable number.

12113011113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12113011113013 is an equidigital number, since it uses as much as digits as its factorization.

12113011113013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 12113011113013 its reverse (31031111031121), we get a palindrome (43144122144134).

The spelling of 12113011113013 in words is "twelve trillion, one hundred thirteen billion, eleven million, one hundred thirteen thousand, thirteen".