100013213 has 2 divisors, whose sum is σ = 100013214. Its totient is φ = 100013212.

The previous prime is 100013197. The next prime is 100013237. The reversal of 100013213 is 312310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63313849 + 36699364 = 7957^2 + 6058^2 .

It is a cyclic number.

It is not a de Polignac number, because 100013213 - 2⁴ = 100013197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100013194 and 100013203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006606 + 50006607.

It is an arithmetic number, because the mean of its divisors is an integer number (50006607).

Almost surely, 2^100013213 is an apocalyptic number.

It is an amenable number.

100013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013213 is an equidigital number, since it uses as much as digits as its factorization.

100013213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100013213 is about 10000.6606281785. The cubic root of 100013213 is about 464.1793255654.

Adding to 100013213 its reverse (312310001), we get a palindrome (412323214).

The spelling of 100013213 in words is "one hundred million, thirteen thousand, two hundred thirteen".