1004013320331 has 16 divisors (see below), whose sum is σ = 1530106151168. Its totient is φ = 573653988000.

The previous prime is 1004013320329. The next prime is 1004013320383. The reversal of 1004013320331 is 1330233104001.

It is not a de Polignac number, because 1004013320331 - 2¹ = 1004013320329 is a prime.

It is a super-2 number, since 2×1004013320331² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1004013320298 and 1004013320307.

It is not an unprimeable number, because it can be changed into a prime (1004013320131) 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 15 ways as a sum of consecutive naturals, for example, 2647645 + ... + 3003006.

It is an arithmetic number, because the mean of its divisors is an integer number (95631634448).

Almost surely, 2^{1004013320331} is an apocalyptic number.

1004013320331 is a deficient number, since it is larger than the sum of its proper divisors (526092830837).

1004013320331 is an equidigital number, since it uses as much as digits as its factorization.

1004013320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659122.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1004013320331 its reverse (1330233104001), we get a palindrome (2334246424332).

The spelling of 1004013320331 in words is "one trillion, four billion, thirteen million, three hundred twenty thousand, three hundred thirty-one".