313321032 has 96 divisors (see below), whose sum is σ = 876603000. Its totient is φ = 101025792.

The previous prime is 313321027. The next prime is 313321049. The reversal of 313321032 is 230123313.

313321032 is a `hidden beast` number, since 313 + 321 + 0 + 32 = 666.

313321032 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 4 ways, for example, as 305061156 + 8259876 = 17466^2 + 2874^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313320996 and 313321014.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 897594 + ... + 897942.

Almost surely, 2^313321032 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 313321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438301500).

313321032 is an abundant number, since it is smaller than the sum of its proper divisors (563281968).

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

313321032 is a wasteful number, since it uses less digits than its factorization.

313321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313321032 is about 17700.8765884631. The cubic root of 313321032 is about 679.1981840987.

Adding to 313321032 its reverse (230123313), we get a palindrome (543444345).

The spelling of 313321032 in words is "three hundred thirteen million, three hundred twenty-one thousand, thirty-two".