213312120300 has 216 divisors, whose sum is σ = 723754458000. Its totient is φ = 53889131520.

The previous prime is 213312120293. The next prime is 213312120323. The reversal of 213312120300 is 3021213312.

213312120300 is a `hidden beast` number, since 21 + 331 + 2 + 12 + 0 + 300 = 666.

213312120300 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, 865276 + ... + 1084124.

Almost surely, 2^213312120300 is an apocalyptic number.

213312120300 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 213312120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361877229000).

213312120300 is an abundant number, since it is smaller than the sum of its proper divisors (510442337700).

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

213312120300 is a wasteful number, since it uses less digits than its factorization.

213312120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218910 (or 218878 counting only the distinct ones).

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

Adding to 213312120300 its reverse (3021213312), we get a palindrome (216333333612).

The spelling of 213312120300 in words is "two hundred thirteen billion, three hundred twelve million, one hundred twenty thousand, three hundred".