12131100313 has 2 divisors, whose sum is σ = 12131100314. Its totient is φ = 12131100312.

The previous prime is 12131100277. The next prime is 12131100341. The reversal of 12131100313 is 31300113121.

12131100313 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., 9213696144 + 2917404169 = 95988^2 + 54013^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131100313 - 2⁹ = 12131099801 is a prime.

It is not a weakly prime, because it can be changed into another prime (12131100383) 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, 6065550156 + 6065550157.

It is an arithmetic number, because the mean of its divisors is an integer number (6065550157).

Almost surely, 2^12131100313 is an apocalyptic number.

It is an amenable number.

12131100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131100313 is an equidigital number, since it uses as much as digits as its factorization.

12131100313 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 16.

Adding to 12131100313 its reverse (31300113121), we get a palindrome (43431213434).

The spelling of 12131100313 in words is "twelve billion, one hundred thirty-one million, one hundred thousand, three hundred thirteen".