213211320300 has 216 divisors, whose sum is σ = 742811050800. Its totient is φ = 50712230400.

The previous prime is 213211320293. The next prime is 213211320319. The reversal of 213211320300 is 3023112312.

213211320300 is a `hidden beast` number, since 2 + 1 + 32 + 11 + 320 + 300 = 666.

213211320300 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 (18).

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 71 ways as a sum of consecutive naturals, for example, 321526 + ... + 727874.

It is an arithmetic number, because the mean of its divisors is an integer number (3438940050).

Almost surely, 2^213211320300 is an apocalyptic number.

213211320300 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 213211320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371405525400).

213211320300 is an abundant number, since it is smaller than the sum of its proper divisors (529599730500).

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

213211320300 is a wasteful number, since it uses less digits than its factorization.

213211320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406433 (or 406423 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213211320300 its reverse (3023112312), we get a palindrome (216234432612).

The spelling of 213211320300 in words is "two hundred thirteen billion, two hundred eleven million, three hundred twenty thousand, three hundred".