100000213 has 2 divisors, whose sum is σ = 100000214. Its totient is φ = 100000212.

The previous prime is 100000193. The next prime is 100000217. The reversal of 100000213 is 312000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99540529 + 459684 = 9977^2 + 678^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000213 - 2²¹ = 97903061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000196 and 100000205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000106 + 50000107.

It is an arithmetic number, because the mean of its divisors is an integer number (50000107).

Almost surely, 2^100000213 is an apocalyptic number.

It is an amenable number.

100000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000213 is an equidigital number, since it uses as much as digits as its factorization.

100000213 is an odious number, because the sum of its binary digits is odd.

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

The square root of 100000213 is about 10000.0106499943. The cubic root of 100000213 is about 464.1592129139.

Adding to 100000213 its reverse (312000001), we get a palindrome (412000214).

The spelling of 100000213 in words is "one hundred million, two hundred thirteen", and thus it is an aban number.