213100304 has 40 divisors (see below), whose sum is σ = 441554328. Its totient is φ = 99276800.

The previous prime is 213100273. The next prime is 213100331. The reversal of 213100304 is 403001312.

It can be written as a sum of positive squares in 4 ways, for example, as 152571904 + 60528400 = 12352^2 + 7780^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23594 + ... + 31350.

Almost surely, 2^213100304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220777164).

213100304 is an abundant number, since it is smaller than the sum of its proper divisors (228454024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213100304 is a wasteful number, since it uses less digits than its factorization.

213100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213100304 is about 14597.9554732846. The cubic root of 213100304 is about 597.3029913682.

Adding to 213100304 its reverse (403001312), we get a palindrome (616101616).

The spelling of 213100304 in words is "two hundred thirteen million, one hundred thousand, three hundred four".