10131041010001 has 16 divisors (see below), whose sum is σ = 10229686255440. Its totient is φ = 10032557230080.

The previous prime is 10131041009989. The next prime is 10131041010017. The reversal of 10131041010001 is 10001014013101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 173538896400 + 9957502113601 = 416580^2 + 3155551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131041010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131041010901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1096309741 + ... + 1096318981.

It is an arithmetic number, because the mean of its divisors is an integer number (639355390965).

Almost surely, 2^{10131041010001} is an apocalyptic number.

It is an amenable number.

10131041010001 is a deficient number, since it is larger than the sum of its proper divisors (98645245439).

10131041010001 is a wasteful number, since it uses less digits than its factorization.

10131041010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16836.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10131041010001 its reverse (10001014013101), we get a palindrome (20132055023102).

The spelling of 10131041010001 in words is "ten trillion, one hundred thirty-one billion, forty-one million, ten thousand, one".