213210313200 has 180 divisors, whose sum is σ = 747226018968. Its totient is φ = 56293056000.

The previous prime is 213210313177. The next prime is 213210313207. The reversal of 213210313200 is 2313012312.

213210313200 is a `hidden beast` number, since 21 + 321 + 0 + 3 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213210313207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70407 + ... + 656793.

Almost surely, 2^213210313200 is an apocalyptic number.

213210313200 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 213210313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373613009484).

213210313200 is an abundant number, since it is smaller than the sum of its proper divisors (534015705768).

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

213210313200 is a wasteful number, since it uses less digits than its factorization.

213210313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586512 (or 586498 counting only the distinct ones).

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

Adding to 213210313200 its reverse (2313012312), we get a palindrome (215523325512).

The spelling of 213210313200 in words is "two hundred thirteen billion, two hundred ten million, three hundred thirteen thousand, two hundred".