212116013 has 2 divisors, whose sum is σ = 212116014. Its totient is φ = 212116012.

The previous prime is 212115997. The next prime is 212116061. The reversal of 212116013 is 310611212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211906249 + 209764 = 14557^2 + 458^2 .

It is a cyclic number.

It is not a de Polignac number, because 212116013 - 2⁴ = 212115997 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 212115982 and 212116000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212116213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106058006 + 106058007.

It is an arithmetic number, because the mean of its divisors is an integer number (106058007).

Almost surely, 2^212116013 is an apocalyptic number.

It is an amenable number.

212116013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212116013 is an equidigital number, since it uses as much as digits as its factorization.

212116013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 212116013 is about 14564.2031364576. The cubic root of 212116013 is about 596.3819423589.

Adding to 212116013 its reverse (310611212), we get a palindrome (522727225).

The spelling of 212116013 in words is "two hundred twelve million, one hundred sixteen thousand, thirteen".