1004312013 has 16 divisors (see below), whose sum is σ = 1410256320. Its totient is φ = 633989376.

The previous prime is 1004312003. The next prime is 1004312017. The reversal of 1004312013 is 3102134001.

It is not a de Polignac number, because 1004312013 - 2⁹ = 1004311501 is a prime.

It is a super-2 number, since 2×1004312013² = 2017285238912224338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004311983 and 1004312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004312017) 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 15 ways as a sum of consecutive naturals, for example, 180631 + ... + 186107.

It is an arithmetic number, because the mean of its divisors is an integer number (88141020).

Almost surely, 2^1004312013 is an apocalyptic number.

It is an amenable number.

1004312013 is a deficient number, since it is larger than the sum of its proper divisors (405944307).

1004312013 is a wasteful number, since it uses less digits than its factorization.

1004312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1004312013 is about 31690.8821745309. The cubic root of 1004312013 is about 1001.4352766620.

Adding to 1004312013 its reverse (3102134001), we get a palindrome (4106446014).

The spelling of 1004312013 in words is "one billion, four million, three hundred twelve thousand, thirteen".