10004131241 has 32 divisors (see below), whose sum is σ = 11522165760. Its totient is φ = 8619494400.

The previous prime is 10004131139. The next prime is 10004131243. The reversal of 10004131241 is 14213140001.

It is a happy number.

10004131241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004131241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004131243) 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 31 ways as a sum of consecutive naturals, for example, 1467146 + ... + 1473948.

It is an arithmetic number, because the mean of its divisors is an integer number (360067680).

Almost surely, 2^10004131241 is an apocalyptic number.

It is an amenable number.

10004131241 is a deficient number, since it is larger than the sum of its proper divisors (1518034519).

10004131241 is a wasteful number, since it uses less digits than its factorization.

10004131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10004131241 its reverse (14213140001), we get a palindrome (24217271242).

The spelling of 10004131241 in words is "ten billion, four million, one hundred thirty-one thousand, two hundred forty-one".