213132101122200 has 192 divisors, whose sum is σ = 712381417171200. Its totient is φ = 52400754086400.

The previous prime is 213132101122183. The next prime is 213132101122207. The reversal of 213132101122200 is 2221101231312.

It is a super-3 number, since 3×213132101122200³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132101122207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9739846 + ... + 22828245.

It is an arithmetic number, because the mean of its divisors is an integer number (3710319881100).

Almost surely, 2^{213132101122200} is an apocalyptic number.

213132101122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132101122200 is an abundant number, since it is smaller than the sum of its proper divisors (499249316049000).

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

213132101122200 is a wasteful number, since it uses less digits than its factorization.

213132101122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32568962 (or 32568953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 213132101122200 its reverse (2221101231312), we get a palindrome (215353202353512).

The spelling of 213132101122200 in words is "two hundred thirteen trillion, one hundred thirty-two billion, one hundred one million, one hundred twenty-two thousand, two hundred".