213201421000 has 128 divisors (see below), whose sum is σ = 521039900160. Its totient is φ = 81501024000.

The previous prime is 213201420997. The next prime is 213201421021. The reversal of 213201421000 is 124102312.

213201421000 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31437610 + ... + 31444390.

It is an arithmetic number, because the mean of its divisors is an integer number (4070624220).

Almost surely, 2^213201421000 is an apocalyptic number.

213201421000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213201421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260519950080).

213201421000 is an abundant number, since it is smaller than the sum of its proper divisors (307838479160).

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

213201421000 is a wasteful number, since it uses less digits than its factorization.

213201421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8192 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 213201421000 its reverse (124102312), we get a palindrome (213325523312).

The spelling of 213201421000 in words is "two hundred thirteen billion, two hundred one million, four hundred twenty-one thousand".