10000213 has 8 divisors (see below), whose sum is σ = 10594400. Its totient is φ = 9412848.

The previous prime is 10000189. The next prime is 10000223. The reversal of 10000213 is 31200001.

10000213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000213 - 2²¹ = 7903061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000196 and 10000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1483 + ... + 4711.

It is an arithmetic number, because the mean of its divisors is an integer number (1324300).

Almost surely, 2^10000213 is an apocalyptic number.

It is an amenable number.

10000213 is a deficient number, since it is larger than the sum of its proper divisors (594187).

10000213 is a wasteful number, since it uses less digits than its factorization.

10000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10000213 is about 3162.3113382461. The cubic root of 10000213 is about 215.4449986410. Note that the first 3 decimals are identical.

Adding to 10000213 its reverse (31200001), we get a palindrome (41200214).

The spelling of 10000213 in words is "ten million, two hundred thirteen", and thus it is an aban number.