1001000313 has 48 divisors (see below), whose sum is σ = 1581465600. Its totient is φ = 607983840.

The previous prime is 1001000293. The next prime is 1001000321. The reversal of 1001000313 is 3130001001.

It is not a de Polignac number, because 1001000313 - 2⁹ = 1000999801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001000295 and 1001000304.

It is not an unprimeable number, because it can be changed into a prime (1001000383) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 473128 + ... + 475238.

It is an arithmetic number, because the mean of its divisors is an integer number (32947200).

Almost surely, 2^1001000313 is an apocalyptic number.

It is an amenable number.

1001000313 is a deficient number, since it is larger than the sum of its proper divisors (580465287).

1001000313 is a wasteful number, since it uses less digits than its factorization.

1001000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1001000313 is about 31638.5889856043. The cubic root of 1001000313 is about 1000.3333265477. Note that the first 4 decimals are identical.

Adding to 1001000313 its reverse (3130001001), we get a palindrome (4131001314).

The spelling of 1001000313 in words is "one billion, one million, three hundred thirteen", and thus it is an aban number.