201322213000 has 64 divisors (see below), whose sum is σ = 473560888320. Its totient is φ = 80107192000.

The previous prime is 201322212979. The next prime is 201322213019. The reversal of 201322213000 is 312223102.

201322213000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336022 + ... + 718021.

It is an arithmetic number, because the mean of its divisors is an integer number (7399388880).

Almost surely, 2^201322213000 is an apocalyptic number.

201322213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201322213000 is an abundant number, since it is smaller than the sum of its proper divisors (272238675320).

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

201322213000 is a wasteful number, since it uses less digits than its factorization.

201322213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054255 (or 1054241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 201322213000 its reverse (312223102), we get a palindrome (201634436102).

The spelling of 201322213000 in words is "two hundred one billion, three hundred twenty-two million, two hundred thirteen thousand".