10131444304101 has 24 divisors (see below), whose sum is σ = 14992416171096. Its totient is φ = 6589041500160.

The previous prime is 10131444304087. The next prime is 10131444304103. The reversal of 10131444304101 is 10140344413101.

10131444304101 is a `hidden beast` number, since 1 + 0 + 1 + 314 + 44 + 304 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 643356389025 + 9488087915076 = 802095^2 + 3080274^2 .

It is not a de Polignac number, because 10131444304101 - 2¹⁷ = 10131444173029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131444304103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3674661 + ... + 5810853.

It is an arithmetic number, because the mean of its divisors is an integer number (624684007129).

Almost surely, 2^{10131444304101} is an apocalyptic number.

It is an amenable number.

10131444304101 is a deficient number, since it is larger than the sum of its proper divisors (4860971866995).

10131444304101 is a wasteful number, since it uses less digits than its factorization.

10131444304101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149093 (or 2149090 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10131444304101 its reverse (10140344413101), we get a palindrome (20271788717202).

The spelling of 10131444304101 in words is "ten trillion, one hundred thirty-one billion, four hundred forty-four million, three hundred four thousand, one hundred one".