20100213 has 24 divisors (see below), whose sum is σ = 34082048. Its totient is φ = 11174112.

The previous prime is 20100203. The next prime is 20100217. The reversal of 20100213 is 31200102.

It is a happy number.

It is not a de Polignac number, because 20100213 - 2⁵ = 20100181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20100195 and 20100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981 + ... + 6642.

Almost surely, 2^20100213 is an apocalyptic number.

It is an amenable number.

20100213 is a deficient number, since it is larger than the sum of its proper divisors (13981835).

20100213 is a wasteful number, since it uses less digits than its factorization.

20100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20100213 is about 4483.3261090400. The cubic root of 20100213 is about 271.8943730943.

Adding to 20100213 its reverse (31200102), we get a palindrome (51300315).

The spelling of 20100213 in words is "twenty million, one hundred thousand, two hundred thirteen".