313320020 has 48 divisors (see below), whose sum is σ = 717171840. Its totient is φ = 114285696.

The previous prime is 313319999. The next prime is 313320023. The reversal of 313320020 is 20023313.

It is a junction number, because it is equal to n+sod(n) for n = 313319977 and 313320004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313320023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14321 + ... + 28839.

It is an arithmetic number, because the mean of its divisors is an integer number (14941080).

Almost surely, 2^313320020 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 313320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358585920).

313320020 is an abundant number, since it is smaller than the sum of its proper divisors (403851820).

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

313320020 is a wasteful number, since it uses less digits than its factorization.

313320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624 (or 14622 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 313320020 is about 17700.8480022851. The cubic root of 313320020 is about 679.1974528473.

Adding to 313320020 its reverse (20023313), we get a palindrome (333343333).

The spelling of 313320020 in words is "three hundred thirteen million, three hundred twenty thousand, twenty".