213203022000 has 320 divisors, whose sum is σ = 694962138624. Its totient is φ = 56229811200.

The previous prime is 213203021953. The next prime is 213203022013. The reversal of 213203022000 is 220302312.

213203022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270905607 + ... + 270906393.

Almost surely, 2^213203022000 is an apocalyptic number.

213203022000 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 213203022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347481069312).

213203022000 is an abundant number, since it is smaller than the sum of its proper divisors (481759116624).

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

213203022000 is a wasteful number, since it uses less digits than its factorization.

213203022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 213203022000 its reverse (220302312), we get a palindrome (213423324312).

The spelling of 213203022000 in words is "two hundred thirteen billion, two hundred three million, twenty-two thousand".