10004113141 has 12 divisors (see below), whose sum is σ = 11044728576. Its totient is φ = 9054558920.

The previous prime is 10004113129. The next prime is 10004113153. The reversal of 10004113141 is 14131140001.

10004113141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10004113129) and next prime (10004113153).

It is not a de Polignac number, because 10004113141 - 2¹¹ = 10004111093 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 (10004113181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154645 + ... + 209578.

It is an arithmetic number, because the mean of its divisors is an integer number (920394048).

Almost surely, 2^10004113141 is an apocalyptic number.

10004113141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10004113141 is a deficient number, since it is larger than the sum of its proper divisors (1040615435).

10004113141 is a wasteful number, since it uses less digits than its factorization.

10004113141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364472 (or 364461 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10004113141 its reverse (14131140001), we get a palindrome (24135253142).

The spelling of 10004113141 in words is "ten billion, four million, one hundred thirteen thousand, one hundred forty-one".