213333201322200 has 120 divisors (see below), whose sum is σ = 740937813166980. Its totient is φ = 56888853681600.

The previous prime is 213333201322187. The next prime is 213333201322201. The reversal of 213333201322200 is 2223102333312.

213333201322200 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 3 + 320 + 132 + 2 + 200 = 666.

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

It is a super-2 number, since 2×213333201322200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213333201322201) 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, 6584341866 + ... + 6584374265.

Almost surely, 2^{213333201322200} is an apocalyptic number.

213333201322200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213333201322200 is an abundant number, since it is smaller than the sum of its proper divisors (527604611844780).

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

213333201322200 is a wasteful number, since it uses less digits than its factorization.

213333201322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13168716159 (or 13168716141 counting only the distinct ones).

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

Adding to 213333201322200 its reverse (2223102333312), we get a palindrome (215556303655512).

The spelling of 213333201322200 in words is "two hundred thirteen trillion, three hundred thirty-three billion, two hundred one million, three hundred twenty-two thousand, two hundred".