1000310013 has 32 divisors (see below), whose sum is σ = 1520668800. Its totient is φ = 649651968.

The previous prime is 1000310011. The next prime is 1000310033. The reversal of 1000310013 is 3100130001.

It is not a de Polignac number, because 1000310013 - 2¹ = 1000310011 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 = 1000309977 and 1000310004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000310011) 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, 177231 + ... + 182787.

It is an arithmetic number, because the mean of its divisors is an integer number (47520900).

Almost surely, 2^1000310013 is an apocalyptic number.

It is an amenable number.

1000310013 is a deficient number, since it is larger than the sum of its proper divisors (520358787).

1000310013 is a wasteful number, since it uses less digits than its factorization.

1000310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5732 counting only the distinct ones).

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

The square root of 1000310013 is about 31627.6779577635. The cubic root of 1000310013 is about 1000.1033269898.

Adding to 1000310013 its reverse (3100130001), we get a palindrome (4100440014).

The spelling of 1000310013 in words is "one billion, three hundred ten thousand, thirteen".