10004403144013 has 6 divisors (see below), whose sum is σ = 10627514758826. Its totient is φ = 9415908841152.

The previous prime is 10004403143941. The next prime is 10004403144259. The reversal of 10004403144013 is 31044130440001.

It can be written as a sum of positive squares in 3 ways, for example, as 2722490100009 + 7281913044004 = 1649997^2 + 2698502^2 .

It is not a de Polignac number, because 10004403144013 - 2¹⁷ = 10004403012941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004403144313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17308655670 + ... + 17308656247.

Almost surely, 2^{10004403144013} is an apocalyptic number.

It is an amenable number.

10004403144013 is a deficient number, since it is larger than the sum of its proper divisors (623111614813).

10004403144013 is an equidigital number, since it uses as much as digits as its factorization.

10004403144013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34617311951 (or 34617311934 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10004403144013 its reverse (31044130440001), we get a palindrome (41048533584014).

The spelling of 10004403144013 in words is "ten trillion, four billion, four hundred three million, one hundred forty-four thousand, thirteen".