220213021320 has 96 divisors (see below), whose sum is σ = 716463797400. Its totient is φ = 58660171776.

The previous prime is 220213021309. The next prime is 220213021333. The reversal of 220213021320 is 23120312022.

220213021320 is a `hidden beast` number, since 2 + 20 + 21 + 302 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80948216196 + 139264805124 = 284514^2 + 373182^2 .

It is a super-3 number, since 3×220213021320³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220213021293 and 220213021302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5214 + ... + 663666.

Almost surely, 2^220213021320 is an apocalyptic number.

220213021320 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 220213021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358231898700).

220213021320 is an abundant number, since it is smaller than the sum of its proper divisors (496250776080).

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

220213021320 is a wasteful number, since it uses less digits than its factorization.

220213021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659399 (or 659392 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220213021320 its reverse (23120312022), we get a palindrome (243333333342).

The spelling of 220213021320 in words is "two hundred twenty billion, two hundred thirteen million, twenty-one thousand, three hundred twenty".