213301303200 has 432 divisors, whose sum is σ = 792975246336. Its totient is φ = 53871667200.

The previous prime is 213301303183. The next prime is 213301303283. The reversal of 213301303200 is 2303103312.

213301303200 is a `hidden beast` number, since 2 + 1 + 330 + 13 + 0 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10480234 + ... + 10500566.

It is an arithmetic number, because the mean of its divisors is an integer number (1835590848).

Almost surely, 2^213301303200 is an apocalyptic number.

213301303200 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 213301303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396487623168).

213301303200 is an abundant number, since it is smaller than the sum of its proper divisors (579673943136).

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

213301303200 is a wasteful number, since it uses less digits than its factorization.

213301303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20437 (or 20421 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213301303200 its reverse (2303103312), we get a palindrome (215604406512).

The spelling of 213301303200 in words is "two hundred thirteen billion, three hundred one million, three hundred three thousand, two hundred".