10004033141 has 2 divisors, whose sum is σ = 10004033142. Its totient is φ = 10004033140.

The previous prime is 10004033063. The next prime is 10004033147. The reversal of 10004033141 is 14133040001.

10004033141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6576399025 + 3427634116 = 81095^2 + 58546^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004033141 - 2¹⁰ = 10004032117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10004033147) 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 as a sum of consecutive naturals, namely, 5002016570 + 5002016571.

It is an arithmetic number, because the mean of its divisors is an integer number (5002016571).

Almost surely, 2^10004033141 is an apocalyptic number.

It is an amenable number.

10004033141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004033141 is an equidigital number, since it uses as much as digits as its factorization.

10004033141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10004033141 its reverse (14133040001), we get a palindrome (24137073142).

The spelling of 10004033141 in words is "ten billion, four million, thirty-three thousand, one hundred forty-one".