212012112112013 has 2 divisors, whose sum is σ = 212012112112014. Its totient is φ = 212012112112012.

The previous prime is 212012112111941. The next prime is 212012112112027. The reversal of 212012112112013 is 310211211210212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153883107031369 + 58129005080644 = 12404963^2 + 7624238^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012112112013 - 2¹⁰ = 212012112110989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212012112112513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006056056006 + 106006056056007.

It is an arithmetic number, because the mean of its divisors is an integer number (106006056056007).

Almost surely, 2^{212012112112013} is an apocalyptic number.

It is an amenable number.

212012112112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012112112013 is an equidigital number, since it uses as much as digits as its factorization.

212012112112013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 212012112112013 its reverse (310211211210212), we get a palindrome (522223323322225).

The spelling of 212012112112013 in words is "two hundred twelve trillion, twelve billion, one hundred twelve million, one hundred twelve thousand, thirteen".