1004013413321 has 8 divisors (see below), whose sum is σ = 1027933081824. Its totient is φ = 980119677600.

The previous prime is 1004013413297. The next prime is 1004013413327. The reversal of 1004013413321 is 1233143104001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1004013413321 - 2⁶ = 1004013413257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004013413327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6404831 + ... + 6559716.

It is an arithmetic number, because the mean of its divisors is an integer number (128491635228).

Almost surely, 2^{1004013413321} is an apocalyptic number.

It is an amenable number.

1004013413321 is a deficient number, since it is larger than the sum of its proper divisors (23919668503).

1004013413321 is a wasteful number, since it uses less digits than its factorization.

1004013413321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966391.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1004013413321 its reverse (1233143104001), we get a palindrome (2237156517322).

The spelling of 1004013413321 in words is "one trillion, four billion, thirteen million, four hundred thirteen thousand, three hundred twenty-one".