100009213 has 2 divisors, whose sum is σ = 100009214. Its totient is φ = 100009212.

The previous prime is 100009201. The next prime is 100009243. The reversal of 100009213 is 312900001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77475204 + 22534009 = 8802^2 + 4747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100009213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100009243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50004606 + 50004607.

It is an arithmetic number, because the mean of its divisors is an integer number (50004607).

Almost surely, 2^100009213 is an apocalyptic number.

It is an amenable number.

100009213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100009213 is an equidigital number, since it uses as much as digits as its factorization.

100009213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 100009213 is about 10000.4606393906. The cubic root of 100009213 is about 464.1731372429.

Adding to 100009213 its reverse (312900001), we get a palindrome (412909214).

The spelling of 100009213 in words is "one hundred million, nine thousand, two hundred thirteen".