10400002004313 has 40 divisors (see below), whose sum is σ = 16256645154816. Its totient is φ = 6617765188800.

The previous prime is 10400002004267. The next prime is 10400002004321. The reversal of 10400002004313 is 31340020000401.

10400002004313 is a `hidden beast` number, since 10 + 400 + 0 + 0 + 200 + 43 + 13 = 666.

It is not a de Polignac number, because 10400002004313 - 2²⁰ = 10400000955737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10400002004383) 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 39 ways as a sum of consecutive naturals, for example, 28185033 + ... + 28551638.

Almost surely, 2^{10400002004313} is an apocalyptic number.

It is an amenable number.

10400002004313 is a deficient number, since it is larger than the sum of its proper divisors (5856643150503).

10400002004313 is an equidigital number, since it uses as much as digits as its factorization.

10400002004313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56736787 (or 56736778 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10400002004313 its reverse (31340020000401), we get a palindrome (41740022004714).

The spelling of 10400002004313 in words is "ten trillion, four hundred billion, two million, four thousand, three hundred thirteen".