320013312 has 88 divisors (see below), whose sum is σ = 865242336. Its totient is φ = 105136128.

The previous prime is 320013299. The next prime is 320013359. The reversal of 320013312 is 213310023.

320013312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 320013291 and 320013300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223543 + ... + 224969.

Almost surely, 2^320013312 is an apocalyptic number.

320013312 is a gapful number since it is divisible by the number (32) 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 320013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432621168).

320013312 is an abundant number, since it is smaller than the sum of its proper divisors (545229024).

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

320013312 is a wasteful number, since it uses less digits than its factorization.

320013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 320013312 is about 17888.9158978402. The cubic root of 320013312 is about 683.9998632057. Note that the first 3 decimals are identical.

Adding to 320013312 its reverse (213310023), we get a palindrome (533323335).

The spelling of 320013312 in words is "three hundred twenty million, thirteen thousand, three hundred twelve".