10004115134141 has 2 divisors, whose sum is σ = 10004115134142. Its totient is φ = 10004115134140.

The previous prime is 10004115134071. The next prime is 10004115134207. The reversal of 10004115134141 is 14143151140001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9015780911641 + 988334222500 = 3002629^2 + 994150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004115134141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10004115134141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10004115134341) 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 as a sum of consecutive naturals, namely, 5002057567070 + 5002057567071.

It is an arithmetic number, because the mean of its divisors is an integer number (5002057567071).

Almost surely, 2^{10004115134141} is an apocalyptic number.

It is an amenable number.

10004115134141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004115134141 is an equidigital number, since it uses as much as digits as its factorization.

10004115134141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 10004115134141 its reverse (14143151140001), we get a palindrome (24147266274142).

The spelling of 10004115134141 in words is "ten trillion, four billion, one hundred fifteen million, one hundred thirty-four thousand, one hundred forty-one".