213012323200 has 96 divisors (see below), whose sum is σ = 526339437120. Its totient is φ = 85183488000.

The previous prime is 213012323189. The next prime is 213012323207. The reversal of 213012323200 is 2323210312.

213012323200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213012323200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213012323207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20734065 + ... + 20744335.

It is an arithmetic number, because the mean of its divisors is an integer number (5482702470).

Almost surely, 2^213012323200 is an apocalyptic number.

213012323200 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 213012323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263169718560).

213012323200 is an abundant number, since it is smaller than the sum of its proper divisors (313327113920).

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

213012323200 is a wasteful number, since it uses less digits than its factorization.

213012323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16776 (or 16759 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213012323200 its reverse (2323210312), we get a palindrome (215335533512).

The spelling of 213012323200 in words is "two hundred thirteen billion, twelve million, three hundred twenty-three thousand, two hundred".