213213233032200 has 120 divisors (see below), whose sum is σ = 740521145522730. Its totient is φ = 56856862137600.

The previous prime is 213213233032171. The next prime is 213213233032207. The reversal of 213213233032200 is 2230332312312.

213213233032200 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 3 + 2 + 330 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 208277024421636 + 4936208610564 = 14431806^2 + 2221758^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213213233032207) 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 29 ways as a sum of consecutive naturals, for example, 6580639141 + ... + 6580671540.

Almost surely, 2^{213213233032200} is an apocalyptic number.

213213233032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213213233032200 is an abundant number, since it is smaller than the sum of its proper divisors (527307912490530).

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

213213233032200 is a wasteful number, since it uses less digits than its factorization.

213213233032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161310709 (or 13161310691 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213213233032200 its reverse (2230332312312), we get a palindrome (215443565344512).

The spelling of 213213233032200 in words is "two hundred thirteen trillion, two hundred thirteen billion, two hundred thirty-three million, thirty-two thousand, two hundred".