1000313328 has 80 divisors (see below), whose sum is σ = 2959302656. Its totient is φ = 285223680.

The previous prime is 1000313323. The next prime is 1000313329. The reversal of 1000313328 is 8233130001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000313323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179025 + ... + 184527.

Almost surely, 2^1000313328 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 1000313328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479651328).

1000313328 is an abundant number, since it is smaller than the sum of its proper divisors (1958989328).

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

1000313328 is a wasteful number, since it uses less digits than its factorization.

1000313328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1000313328 is about 31627.7303643496. The cubic root of 1000313328 is about 1000.1044317603.

Adding to 1000313328 its reverse (8233130001), we get a palindrome (9233443329).

The spelling of 1000313328 in words is "one billion, three hundred thirteen thousand, three hundred twenty-eight".