313220220324 has 96 divisors (see below), whose sum is σ = 803806198272. Its totient is φ = 94142400000.

The previous prime is 313220220323. The next prime is 313220220359. The reversal of 313220220324 is 423022022313.

It is a junction number, because it is equal to n+sod(n) for n = 313220220294 and 313220220303.

It is not an unprimeable number, because it can be changed into a prime (313220220323) 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 31 ways as a sum of consecutive naturals, for example, 7965199 + ... + 8004425.

It is an arithmetic number, because the mean of its divisors is an integer number (8372981232).

Almost surely, 2^313220220324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313220220324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401903099136).

313220220324 is an abundant number, since it is smaller than the sum of its proper divisors (490585977948).

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

313220220324 is a wasteful number, since it uses less digits than its factorization.

313220220324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39737 (or 39735 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 313220220324 its reverse (423022022313), we get a palindrome (736242242637).

The spelling of 313220220324 in words is "three hundred thirteen billion, two hundred twenty million, two hundred twenty thousand, three hundred twenty-four".