8100213 has 16 divisors (see below), whose sum is σ = 12403200. Its totient is φ = 4650480.

The previous prime is 8100203. The next prime is 8100217. The reversal of 8100213 is 3120018.

It is a happy number.

8100213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8100213 - 2⁵ = 8100181 is a prime.

It is a super-2 number, since 2×8100213² = 131226901290738, which contains 22 as substring.

It is a Curzon number.

8100213 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8100192 and 8100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5833 + ... + 7086.

It is an arithmetic number, because the mean of its divisors is an integer number (775200).

Almost surely, 2^8100213 is an apocalyptic number.

It is an amenable number.

8100213 is a deficient number, since it is larger than the sum of its proper divisors (4302987).

8100213 is a wasteful number, since it uses less digits than its factorization.

8100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8100213 is about 2846.0873141912. The cubic root of 8100213 is about 200.8316453699.

The spelling of 8100213 in words is "eight million, one hundred thousand, two hundred thirteen".