213004352000 has 160 divisors (see below), whose sum is σ = 579427003584. Its totient is φ = 77455872000.

The previous prime is 213004351997. The next prime is 213004352027. The reversal of 213004352000 is 253400312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552719 + ... + 855281.

Almost surely, 2^213004352000 is an apocalyptic number.

213004352000 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 213004352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289713501792).

213004352000 is an abundant number, since it is smaller than the sum of its proper divisors (366422651584).

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

213004352000 is an equidigital number, since it uses as much as digits as its factorization.

213004352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302607 (or 302581 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 213004352000 its reverse (253400312), we get a palindrome (213257752312).

The spelling of 213004352000 in words is "two hundred thirteen billion, four million, three hundred fifty-two thousand".