10004444313101 has 8 divisors (see below), whose sum is σ = 11453959086144. Its totient is φ = 8560006650720.

The previous prime is 10004444313047. The next prime is 10004444313139. The reversal of 10004444313101 is 10131344440001.

It is a happy number.

10004444313101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10004444313101 - 2¹⁸ = 10004444050957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004444313161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269273440 + ... + 1269281321.

It is an arithmetic number, because the mean of its divisors is an integer number (1431744885768).

Almost surely, 2^{10004444313101} is an apocalyptic number.

It is an amenable number.

10004444313101 is a deficient number, since it is larger than the sum of its proper divisors (1449514773043).

10004444313101 is an equidigital number, since it uses as much as digits as its factorization.

10004444313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538555331.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10004444313101 its reverse (10131344440001), we get a palindrome (20135788753102).

The spelling of 10004444313101 in words is "ten trillion, four billion, four hundred forty-four million, three hundred thirteen thousand, one hundred one".