213412444300 has 288 divisors, whose sum is σ = 534483290880. Its totient is φ = 73258214400.

The previous prime is 213412444283. The next prime is 213412444313. The reversal of 213412444300 is 3444214312.

213412444300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 344769391 + ... + 344770009.

It is an arithmetic number, because the mean of its divisors is an integer number (1855844760).

Almost surely, 2^213412444300 is an apocalyptic number.

213412444300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213412444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267241645440).

213412444300 is an abundant number, since it is smaller than the sum of its proper divisors (321070846580).

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

213412444300 is a wasteful number, since it uses less digits than its factorization.

213412444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 914 counting only the distinct ones).

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

Adding to 213412444300 its reverse (3444214312), we get a palindrome (216856658612).

The spelling of 213412444300 in words is "two hundred thirteen billion, four hundred twelve million, four hundred forty-four thousand, three hundred".