213122320200 has 72 divisors (see below), whose sum is σ = 715735798050. Its totient is φ = 56832618240.

The previous prime is 213122320141. The next prime is 213122320217. The reversal of 213122320200 is 2023221312.

213122320200 is a `hidden beast` number, since 21 + 3 + 122 + 320 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 190150067844 + 22972252356 = 436062^2 + 151566^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×213122320200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 59198845 + ... + 59202444.

Almost surely, 2^213122320200 is an apocalyptic number.

213122320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122320200 is an abundant number, since it is smaller than the sum of its proper divisors (502613477850).

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

213122320200 is a wasteful number, since it uses less digits than its factorization.

213122320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118401311 (or 118401299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213122320200 its reverse (2023221312), we get a palindrome (215145541512).

The spelling of 213122320200 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred twenty thousand, two hundred".