212121000112013 has 2 divisors, whose sum is σ = 212121000112014. Its totient is φ = 212121000112012.

The previous prime is 212121000111983. The next prime is 212121000112039. The reversal of 212121000112013 is 310211000121212.

It is a happy number.

212121000112013 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., 210390441444964 + 1730558667049 = 14504842^2 + 1315507^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121000112013 - 2⁶ = 212121000111949 is a prime.

It is a super-3 number, since 3×212121000112013³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212121000111982 and 212121000112000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121000112513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060500056006 + 106060500056007.

It is an arithmetic number, because the mean of its divisors is an integer number (106060500056007).

Almost surely, 2^{212121000112013} is an apocalyptic number.

It is an amenable number.

212121000112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121000112013 is an equidigital number, since it uses as much as digits as its factorization.

212121000112013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 212121000112013 its reverse (310211000121212), we get a palindrome (522332000233225).

The spelling of 212121000112013 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twelve thousand, thirteen".