313321430032 has 80 divisors (see below), whose sum is σ = 663011953408. Its totient is φ = 142564561920.

The previous prime is 313321430021. The next prime is 313321430057. The reversal of 313321430032 is 230034123313.

It is a junction number, because it is equal to n+sod(n) for n = 313321429979 and 313321430006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55130263 + ... + 55135945.

Almost surely, 2^313321430032 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 313321430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331505976704).

313321430032 is an abundant number, since it is smaller than the sum of its proper divisors (349690523376).

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

313321430032 is a wasteful number, since it uses less digits than its factorization.

313321430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 313321430032 its reverse (230034123313), we get a palindrome (543355553345).

The spelling of 313321430032 in words is "three hundred thirteen billion, three hundred twenty-one million, four hundred thirty thousand, thirty-two".