10005040834313 has 16 divisors (see below), whose sum is σ = 11487075799680. Its totient is φ = 8536281532800.

The previous prime is 10005040834301. The next prime is 10005040834331. The reversal of 10005040834313 is 31343804050001.

It is not a de Polignac number, because 10005040834313 - 2⁸ = 10005040834057 is a prime.

It is a super-2 number, since 2×10005040834313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10005040834313.

It is not an unprimeable number, because it can be changed into a prime (10005040834343) 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, 2404628 + ... + 5078613.

It is an arithmetic number, because the mean of its divisors is an integer number (717942237480).

Almost surely, 2^{10005040834313} is an apocalyptic number.

It is an amenable number.

10005040834313 is a deficient number, since it is larger than the sum of its proper divisors (1482034965367).

10005040834313 is an equidigital number, since it uses as much as digits as its factorization.

10005040834313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484128.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 10005040834313 its reverse (31343804050001), we get a palindrome (41348844884314).

The spelling of 10005040834313 in words is "ten trillion, five billion, forty million, eight hundred thirty-four thousand, three hundred thirteen".