221221313320 has 48 divisors (see below), whose sum is σ = 579012932340. Its totient is φ = 75847306752.

The previous prime is 221221313251. The next prime is 221221313329. The reversal of 221221313320 is 23313122122.

221221313320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 218924795236 + 2296518084 = 467894^2 + 47922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221221313291 and 221221313300.

It is not an unprimeable number, because it can be changed into a prime (221221313329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56432049 + ... + 56435968.

Almost surely, 2^221221313320 is an apocalyptic number.

221221313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221313320 is an abundant number, since it is smaller than the sum of its proper divisors (357791619020).

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

221221313320 is a wasteful number, since it uses less digits than its factorization.

221221313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112868042 (or 112868031 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 221221313320 its reverse (23313122122), we get a palindrome (244534435442).

The spelling of 221221313320 in words is "two hundred twenty-one billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred twenty".