12131311013 has 2 divisors, whose sum is σ = 12131311014. Its totient is φ = 12131311012.

The previous prime is 12131310991. The next prime is 12131311043. The reversal of 12131311013 is 31011313121.

12131311013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11659248484 + 472062529 = 107978^2 + 21727^2 .

It is an emirp because it is prime and its reverse (31011313121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12131311013 - 2⁶ = 12131310949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12131310982 and 12131311000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131311043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065655506 + 6065655507.

It is an arithmetic number, because the mean of its divisors is an integer number (6065655507).

Almost surely, 2^12131311013 is an apocalyptic number.

It is an amenable number.

12131311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131311013 is an equidigital number, since it uses as much as digits as its factorization.

12131311013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 12131311013 its reverse (31011313121), we get a palindrome (43142624134).

The spelling of 12131311013 in words is "twelve billion, one hundred thirty-one million, three hundred eleven thousand, thirteen".