213330221213220 has 72 divisors (see below), whose sum is σ = 647114799063096. Its totient is φ = 56886904876032.

The previous prime is 213330221213189. The next prime is 213330221213227. The reversal of 213330221213220 is 22312122033312.

213330221213220 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 3 + 0 + 221 + 213 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6615472067136 + 206714749146084 = 2572056^2 + 14377578^2 .

It is not an unprimeable number, because it can be changed into a prime (213330221213227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3106587 + ... + 20888066.

It is an arithmetic number, because the mean of its divisors is an integer number (8987705542543).

Almost surely, 2^{213330221213220} is an apocalyptic number.

213330221213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213330221213220 is an abundant number, since it is smaller than the sum of its proper divisors (433784577849876).

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

213330221213220 is a wasteful number, since it uses less digits than its factorization.

213330221213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24044061 (or 24044056 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213330221213220 its reverse (22312122033312), we get a palindrome (235642343246532).

The spelling of 213330221213220 in words is "two hundred thirteen trillion, three hundred thirty billion, two hundred twenty-one million, two hundred thirteen thousand, two hundred twenty".