212121030013 has 2 divisors, whose sum is σ = 212121030014. Its totient is φ = 212121030012.

The previous prime is 212121029969. The next prime is 212121030029. The reversal of 212121030013 is 310030121212.

It is an a-pointer prime, because the next prime (212121030029) can be obtained adding 212121030013 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206067878809 + 6053151204 = 453947^2 + 77802^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121030013 - 2⁹ = 212121029501 is a prime.

It is a super-3 number, since 3×212121030013³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121030113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060515006 + 106060515007.

It is an arithmetic number, because the mean of its divisors is an integer number (106060515007).

Almost surely, 2^212121030013 is an apocalyptic number.

It is an amenable number.

212121030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121030013 is an equidigital number, since it uses as much as digits as its factorization.

212121030013 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 16.

Adding to 212121030013 its reverse (310030121212), we get a palindrome (522151151225).

The spelling of 212121030013 in words is "two hundred twelve billion, one hundred twenty-one million, thirty thousand, thirteen".