10004401200113 has 16 divisors (see below), whose sum is σ = 10051370106624. Its totient is φ = 9957533564160.

The previous prime is 10004401200107. The next prime is 10004401200139. The reversal of 10004401200113 is 31100210440001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10004401200113 - 2²⁶ = 10004334091249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10004401200091 and 10004401200100.

It is not an unprimeable number, because it can be changed into a prime (10004401200163) 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 in 15 ways as a sum of consecutive naturals, for example, 1598910281 + ... + 1598916537.

It is an arithmetic number, because the mean of its divisors is an integer number (628210631664).

Almost surely, 2^{10004401200113} is an apocalyptic number.

It is an amenable number.

10004401200113 is a deficient number, since it is larger than the sum of its proper divisors (46968906511).

10004401200113 is an equidigital number, since it uses as much as digits as its factorization.

10004401200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192.

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

Adding to 10004401200113 its reverse (31100210440001), we get a palindrome (41104611640114).

The spelling of 10004401200113 in words is "ten trillion, four billion, four hundred one million, two hundred thousand, one hundred thirteen".