213313212200220 has 192 divisors, whose sum is σ = 652279532534784. Its totient is φ = 51656382535680.

The previous prime is 213313212200213. The next prime is 213313212200281. The reversal of 213313212200220 is 22002212313312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11380944169 + ... + 11380962911.

It is an arithmetic number, because the mean of its divisors is an integer number (3397289231952).

Almost surely, 2^{213313212200220} is an apocalyptic number.

213313212200220 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 213313212200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326139766267392).

213313212200220 is an abundant number, since it is smaller than the sum of its proper divisors (438966320334564).

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

213313212200220 is a wasteful number, since it uses less digits than its factorization.

213313212200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36492 (or 36490 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213313212200220 its reverse (22002212313312), we get a palindrome (235315424513532).

The spelling of 213313212200220 in words is "two hundred thirteen trillion, three hundred thirteen billion, two hundred twelve million, two hundred thousand, two hundred twenty".