667212111113 has 2 divisors, whose sum is σ = 667212111114. Its totient is φ = 667212111112.

The previous prime is 667212111079. The next prime is 667212111127. The reversal of 667212111113 is 311111212766.

667212111113 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., 554351724304 + 112860386809 = 744548^2 + 335947^2 .

It is a cyclic number.

It is not a de Polignac number, because 667212111113 - 2²⁴ = 667195333897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 667212111113.

It is not a weakly prime, because it can be changed into another prime (667212111143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 333606055556 + 333606055557.

It is an arithmetic number, because the mean of its divisors is an integer number (333606055557).

Almost surely, 2^667212111113 is an apocalyptic number.

It is an amenable number.

667212111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

667212111113 is an equidigital number, since it uses as much as digits as its factorization.

667212111113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 32.

Adding to 667212111113 its reverse (311111212766), we get a palindrome (978323323879).

The spelling of 667212111113 in words is "six hundred sixty-seven billion, two hundred twelve million, one hundred eleven thousand, one hundred thirteen".