212000013 has 12 divisors (see below), whose sum is σ = 324235548. Its totient is φ = 133019520.

The previous prime is 212000003. The next prime is 212000021. The reversal of 212000013 is 310000212.

It is a happy number.

212000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 69006249 + 142993764 = 8307^2 + 11958^2 .

It is not a de Polignac number, because 212000013 - 2⁸ = 211999757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211999959 and 212000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 692658 + ... + 692963.

It is an arithmetic number, because the mean of its divisors is an integer number (27019629).

Almost surely, 2^212000013 is an apocalyptic number.

It is an amenable number.

212000013 is a deficient number, since it is larger than the sum of its proper divisors (112235535).

212000013 is a wasteful number, since it uses less digits than its factorization.

212000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385644 (or 1385641 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 212000013 is about 14560.2202249829. The cubic root of 212000013 is about 596.2732079623.

Adding to 212000013 its reverse (310000212), we get a palindrome (522000225).

The spelling of 212000013 in words is "two hundred twelve million, thirteen", and thus it is an aban number.