10131131320201 has 8 divisors (see below), whose sum is σ = 10480619709000. Its totient is φ = 9781652200320.

The previous prime is 10131131320153. The next prime is 10131131320223. The reversal of 10131131320201 is 10202313113101.

It can be written as a sum of positive squares in 4 ways, for example, as 1528378348176 + 8602752972025 = 1236276^2 + 2933045^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10131131320201 - 2³⁵ = 10096771581833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131131324201) 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, 56070 + ... + 4501711.

It is an arithmetic number, because the mean of its divisors is an integer number (1310077463625).

Almost surely, 2^{10131131320201} is an apocalyptic number.

It is an amenable number.

10131131320201 is a deficient number, since it is larger than the sum of its proper divisors (349488388799).

10131131320201 is an equidigital number, since it uses as much as digits as its factorization.

10131131320201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634459.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10131131320201 its reverse (10202313113101), we get a palindrome (20333444433302).

The spelling of 10131131320201 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-one million, three hundred twenty thousand, two hundred one".