1004040032313 has 32 divisors (see below), whose sum is σ = 1442368512000. Its totient is φ = 619255397376.

The previous prime is 1004040032279. The next prime is 1004040032329. The reversal of 1004040032313 is 3132300404001.

It is not a de Polignac number, because 1004040032313 - 2⁶ = 1004040032249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1004040032313.

It is not an unprimeable number, because it can be changed into a prime (1004040039313) 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 31 ways as a sum of consecutive naturals, for example, 785520 + ... + 1620222.

It is an arithmetic number, because the mean of its divisors is an integer number (45074016000).

Almost surely, 2^{1004040032313} is an apocalyptic number.

It is an amenable number.

1004040032313 is a deficient number, since it is larger than the sum of its proper divisors (438328479687).

1004040032313 is a wasteful number, since it uses less digits than its factorization.

1004040032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835221.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1004040032313 its reverse (3132300404001), we get a palindrome (4136340436314).

The spelling of 1004040032313 in words is "one trillion, four billion, forty million, thirty-two thousand, three hundred thirteen".