1004032000313 has 24 divisors (see below), whose sum is σ = 1056462136128. Its totient is φ = 954093173792.

The previous prime is 1004032000303. The next prime is 1004032000331. The reversal of 1004032000313 is 3130002304001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1004032000313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004032000291 and 1004032000300.

It is not an unprimeable number, because it can be changed into a prime (1004032000303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147064406 + ... + 147071232.

It is an arithmetic number, because the mean of its divisors is an integer number (44019255672).

Almost surely, 2^{1004032000313} is an apocalyptic number.

It is an amenable number.

1004032000313 is a deficient number, since it is larger than the sum of its proper divisors (52430135815).

1004032000313 is a wasteful number, since it uses less digits than its factorization.

1004032000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8653 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1004032000313 its reverse (3130002304001), we get a palindrome (4134034304314).

The spelling of 1004032000313 in words is "one trillion, four billion, thirty-two million, three hundred thirteen", and thus it is an aban number.