313114032 has 160 divisors (see below), whose sum is σ = 1120642560. Its totient is φ = 81319680.

The previous prime is 313114031. The next prime is 313114057. The reversal of 313114032 is 230411313.

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 = 313113996 and 313114014.

It is not an unprimeable number, because it can be changed into a prime (313114031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28558 + ... + 37970.

It is an arithmetic number, because the mean of its divisors is an integer number (7004016).

Almost surely, 2^313114032 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 313114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560321280).

313114032 is an abundant number, since it is smaller than the sum of its proper divisors (807528528).

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

313114032 is a wasteful number, since it uses less digits than its factorization.

313114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313114032 is about 17695.0284543428. The cubic root of 313114032 is about 679.0485771642.

Adding to 313114032 its reverse (230411313), we get a palindrome (543525345).

The spelling of 313114032 in words is "three hundred thirteen million, one hundred fourteen thousand, thirty-two".