212100013 has 4 divisors (see below), whose sum is σ = 212148508. Its totient is φ = 212051520.

The previous prime is 212099981. The next prime is 212100017. The reversal of 212100013 is 310001212.

212100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 196084009 + 16016004 = 14003^2 + 4002^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100013 - 2⁵ = 212099981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16956 + ... + 26677.

It is an arithmetic number, because the mean of its divisors is an integer number (53037127).

Almost surely, 2^212100013 is an apocalyptic number.

It is an amenable number.

212100013 is a deficient number, since it is larger than the sum of its proper divisors (48495).

212100013 is an equidigital number, since it uses as much as digits as its factorization.

212100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48494.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 212100013 is about 14563.6538341173. The cubic root of 212100013 is about 596.3669468684.

Adding to 212100013 its reverse (310001212), we get a palindrome (522101225).

The spelling of 212100013 in words is "two hundred twelve million, one hundred thousand, thirteen".