213244104304 has 200 divisors, whose sum is σ = 543971902320. Its totient is φ = 80212608000.

The previous prime is 213244104301. The next prime is 213244104349. The reversal of 213244104304 is 403401442312.

213244104304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213244104301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12246004 + ... + 12263404.

Almost surely, 2^213244104304 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 213244104304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271985951160).

213244104304 is an abundant number, since it is smaller than the sum of its proper divisors (330727798016).

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

213244104304 is a wasteful number, since it uses less digits than its factorization.

213244104304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17477 (or 17450 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213244104304 its reverse (403401442312), we get a palindrome (616645546616).

It can be divided in two parts, 21324 and 4104304, that added together give a triangular number (4125628 = T₂₈₇₂).

The spelling of 213244104304 in words is "two hundred thirteen billion, two hundred forty-four million, one hundred four thousand, three hundred four".