10006307101441 has 12 divisors (see below), whose sum is σ = 11859612347412. Its totient is φ = 8415007587168.

The previous prime is 10006307101433. The next prime is 10006307101463. The reversal of 10006307101441 is 14410170360001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4161498000625 + 5844809100816 = 2039975^2 + 2417604^2 .

It is not a de Polignac number, because 10006307101441 - 2³ = 10006307101433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006307101421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1926510130 + ... + 1926515323.

It is an arithmetic number, because the mean of its divisors is an integer number (988301028951).

Almost surely, 2^{10006307101441} is an apocalyptic number.

It is an amenable number.

10006307101441 is a deficient number, since it is larger than the sum of its proper divisors (1853305245971).

10006307101441 is an equidigital number, since it uses as much as digits as its factorization.

10006307101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853025520 (or 3853025513 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 10006307101441 its reverse (14410170360001), we get a palindrome (24416477461442).

The spelling of 10006307101441 in words is "ten trillion, six billion, three hundred seven million, one hundred one thousand, four hundred forty-one".