213201022000 has 40 divisors (see below), whose sum is σ = 515520076032. Its totient is φ = 85280408000.

The previous prime is 213201021983. The next prime is 213201022003. The reversal of 213201022000 is 220102312.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (213201022003) 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 7 ways as a sum of consecutive naturals, for example, 53298256 + ... + 53302255.

Almost surely, 2^213201022000 is an apocalyptic number.

213201022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213201022000 is an abundant number, since it is smaller than the sum of its proper divisors (302319054032).

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

213201022000 is a wasteful number, since it uses less digits than its factorization.

213201022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106600534 (or 106600518 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 213201022000 its reverse (220102312), we get a palindrome (213421124312).

The spelling of 213201022000 in words is "two hundred thirteen billion, two hundred one million, twenty-two thousand".