10041404013 has 24 divisors (see below), whose sum is σ = 15011241336. Its totient is φ = 6463641600.

The previous prime is 10041404011. The next prime is 10041404039. The reversal of 10041404013 is 31040414001.

10041404013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 851880969 + 9189523044 = 29187^2 + 95862^2 .

It is not a de Polignac number, because 10041404013 - 2¹ = 10041404011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041404011) 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 23 ways as a sum of consecutive naturals, for example, 104478 + ... + 176063.

It is an arithmetic number, because the mean of its divisors is an integer number (625468389).

Almost surely, 2^10041404013 is an apocalyptic number.

It is an amenable number.

10041404013 is a deficient number, since it is larger than the sum of its proper divisors (4969837323).

10041404013 is a wasteful number, since it uses less digits than its factorization.

10041404013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280685 (or 280682 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10041404013 its reverse (31040414001), we get a palindrome (41081818014).

The spelling of 10041404013 in words is "ten billion, forty-one million, four hundred four thousand, thirteen".