212101013 has 2 divisors, whose sum is σ = 212101014. Its totient is φ = 212101012.

The previous prime is 212100961. The next prime is 212101031. The reversal of 212101013 is 310101212.

212101013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (212101031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211935364 + 165649 = 14558^2 + 407^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101013 - 2⁶ = 212100949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212100985 and 212101003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212101913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050506 + 106050507.

It is an arithmetic number, because the mean of its divisors is an integer number (106050507).

Almost surely, 2^212101013 is an apocalyptic number.

It is an amenable number.

212101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101013 is an equidigital number, since it uses as much as digits as its factorization.

212101013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 212101013 is about 14563.6881661206. The cubic root of 212101013 is about 596.3678841086.

Adding to 212101013 its reverse (310101212), we get a palindrome (522202225).

The spelling of 212101013 in words is "two hundred twelve million, one hundred one thousand, thirteen".