212120100013 has 2 divisors, whose sum is σ = 212120100014. Its totient is φ = 212120100012.

The previous prime is 212120100011. The next prime is 212120100037. The reversal of 212120100013 is 310001021212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211473059044 + 647040969 = 459862^2 + 25437^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120100013 - 2¹ = 212120100011 is a prime.

Together with 212120100011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 212120099966 and 212120100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212120100011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060050006 + 106060050007.

It is an arithmetic number, because the mean of its divisors is an integer number (106060050007).

Almost surely, 2^212120100013 is an apocalyptic number.

It is an amenable number.

212120100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212120100013 is an equidigital number, since it uses as much as digits as its factorization.

212120100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 212120100013 its reverse (310001021212), we get a palindrome (522121121225).

The spelling of 212120100013 in words is "two hundred twelve billion, one hundred twenty million, one hundred thousand, thirteen".