10001331001 has 2 divisors, whose sum is σ = 10001331002. Its totient is φ = 10001331000.

The previous prime is 10001330993. The next prime is 10001331031. The reversal of 10001331001 is 10013310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6371870976 + 3629460025 = 79824^2 + 60245^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001331001 - 2³ = 10001330993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001331031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000665500 + 5000665501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000665501).

Almost surely, 2^10001331001 is an apocalyptic number.

It is an amenable number.

10001331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001331001 is an equidigital number, since it uses as much as digits as its factorization.

10001331001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10001331001 its reverse (10013310001), we get a palindrome (20014641002).

The spelling of 10001331001 in words is "ten billion, one million, three hundred thirty-one thousand, one".