12313013103133 has 2 divisors, whose sum is σ = 12313013103134. Its totient is φ = 12313013103132.

The previous prime is 12313013103049. The next prime is 12313013103179. The reversal of 12313013103133 is 33130131031321.

12313013103133 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., 10229110096804 + 2083903006329 = 3198298^2 + 1443573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12313013103133 is a prime.

It is a super-2 number, since 2×12313013103133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313013103098 and 12313013103107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12313013103233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156506551566 + 6156506551567.

It is an arithmetic number, because the mean of its divisors is an integer number (6156506551567).

Almost surely, 2^{12313013103133} is an apocalyptic number.

It is an amenable number.

12313013103133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313013103133 is an equidigital number, since it uses as much as digits as its factorization.

12313013103133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 12313013103133 its reverse (33130131031321), we get a palindrome (45443144134454).

The spelling of 12313013103133 in words is "twelve trillion, three hundred thirteen billion, thirteen million, one hundred three thousand, one hundred thirty-three".