313220443221 has 48 divisors (see below), whose sum is σ = 521537536000. Its totient is φ = 177438794400.

The previous prime is 313220443183. The next prime is 313220443301. The reversal of 313220443221 is 122344022313.

313220443221 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 204 + 432 + 21 = 666.

It is not a de Polignac number, because 313220443221 - 2¹³ = 313220435029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313220443321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4713996 + ... + 4779978.

Almost surely, 2^313220443221 is an apocalyptic number.

It is an amenable number.

313220443221 is a deficient number, since it is larger than the sum of its proper divisors (208317092779).

313220443221 is a wasteful number, since it uses less digits than its factorization.

313220443221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66646 (or 66643 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 313220443221 its reverse (122344022313), we get a palindrome (435564465534).

The spelling of 313220443221 in words is "three hundred thirteen billion, two hundred twenty million, four hundred forty-three thousand, two hundred twenty-one".