1003310013 has 32 divisors (see below), whose sum is σ = 1422748800. Its totient is φ = 627814656.

The previous prime is 1003309999. The next prime is 1003310053. The reversal of 1003310013 is 3100133001.

It is not a de Polignac number, because 1003310013 - 2¹⁸ = 1003047869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003310053) 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, 1005831 + ... + 1006827.

It is an arithmetic number, because the mean of its divisors is an integer number (44460900).

Almost surely, 2^1003310013 is an apocalyptic number.

It is an amenable number.

1003310013 is a deficient number, since it is larger than the sum of its proper divisors (419438787).

1003310013 is a wasteful number, since it uses less digits than its factorization.

1003310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1003310013 is about 31675.0692659069. The cubic root of 1003310013 is about 1001.1021225463.

Adding to 1003310013 its reverse (3100133001), we get a palindrome (4103443014).

The spelling of 1003310013 in words is "one billion, three million, three hundred ten thousand, thirteen".