212313123013 has 2 divisors, whose sum is σ = 212313123014. Its totient is φ = 212313123012.

The previous prime is 212313123007. The next prime is 212313123019. The reversal of 212313123013 is 310321313212.

212313123013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (212313123007) and next prime (212313123019).

It can be written as a sum of positive squares in only one way, i.e., 210628677249 + 1684445764 = 458943^2 + 41042^2 .

It is a cyclic number.

It is not a de Polignac number, because 212313123013 - 2¹³ = 212313114821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212313123019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156561506 + 106156561507.

It is an arithmetic number, because the mean of its divisors is an integer number (106156561507).

Almost surely, 2^212313123013 is an apocalyptic number.

It is an amenable number.

212313123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212313123013 is an equidigital number, since it uses as much as digits as its factorization.

212313123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 212313123013 its reverse (310321313212), we get a palindrome (522634436225).

The spelling of 212313123013 in words is "two hundred twelve billion, three hundred thirteen million, one hundred twenty-three thousand, thirteen".