213324304400 has 30 divisors (see below), whose sum is σ = 512511642282. Its totient is φ = 85329721600.

The previous prime is 213324304397. The next prime is 213324304447. The reversal of 213324304400 is 4403423312.

It can be written as a sum of positive squares in 3 ways, for example, as 4409491216 + 208914813184 = 66404^2 + 457072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213324304400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266654981 + ... + 266655780.

Almost surely, 2^213324304400 is an apocalyptic number.

213324304400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213324304400 is an abundant number, since it is smaller than the sum of its proper divisors (299187337882).

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

213324304400 is a wasteful number, since it uses less digits than its factorization.

213324304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533310779 (or 533310768 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 213324304400 its reverse (4403423312), we get a palindrome (217727727712).

The spelling of 213324304400 in words is "two hundred thirteen billion, three hundred twenty-four million, three hundred four thousand, four hundred".