212011110010013 has 2 divisors, whose sum is σ = 212011110010014. Its totient is φ = 212011110010012.

The previous prime is 212011110009973. The next prime is 212011110010057. The reversal of 212011110010013 is 310010011110212.

212011110010013 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., 142493568562489 + 69517541447524 = 11937067^2 + 8337718^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011110010013 - 2¹⁰ = 212011110008989 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 212011110010013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212011110010813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005555005006 + 106005555005007.

It is an arithmetic number, because the mean of its divisors is an integer number (106005555005007).

Almost surely, 2^{212011110010013} is an apocalyptic number.

It is an amenable number.

212011110010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011110010013 is an equidigital number, since it uses as much as digits as its factorization.

212011110010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 212011110010013 its reverse (310010011110212), we get a palindrome (522021121120225).

The spelling of 212011110010013 in words is "two hundred twelve trillion, eleven billion, one hundred ten million, ten thousand, thirteen".