213032000220 has 288 divisors, whose sum is σ = 659255889600. Its totient is φ = 51366002688.

The previous prime is 213032000213. The next prime is 213032000239. The reversal of 213032000220 is 22000230312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213032000220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101976936 + ... + 101979024.

It is an arithmetic number, because the mean of its divisors is an integer number (2289082950).

Almost surely, 2^213032000220 is an apocalyptic number.

213032000220 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 213032000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329627944800).

213032000220 is an abundant number, since it is smaller than the sum of its proper divisors (446223889380).

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

213032000220 is a wasteful number, since it uses less digits than its factorization.

213032000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2314 counting only the distinct ones).

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

Adding to 213032000220 its reverse (22000230312), we get a palindrome (235032230532).

The spelling of 213032000220 in words is "two hundred thirteen billion, thirty-two million, two hundred twenty", and thus it is an aban number.