212312013113 has 2 divisors, whose sum is σ = 212312013114. Its totient is φ = 212312013112.

The previous prime is 212312013107. The next prime is 212312013131. The reversal of 212312013113 is 311310213212.

It is a happy number.

212312013113 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 (212312013131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128878846009 + 83433167104 = 358997^2 + 288848^2 .

It is a cyclic number.

It is not a de Polignac number, because 212312013113 - 2¹² = 212312009017 is a prime.

It is not a weakly prime, because it can be changed into another prime (212312013163) 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, 106156006556 + 106156006557.

It is an arithmetic number, because the mean of its divisors is an integer number (106156006557).

Almost surely, 2^212312013113 is an apocalyptic number.

It is an amenable number.

212312013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212312013113 is an equidigital number, since it uses as much as digits as its factorization.

212312013113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212312013113 its reverse (311310213212), we get a palindrome (523622226325).

The spelling of 212312013113 in words is "two hundred twelve billion, three hundred twelve million, thirteen thousand, one hundred thirteen".