10010013001 has 2 divisors, whose sum is σ = 10010013002. Its totient is φ = 10010013000.

The previous prime is 10010012977. The next prime is 10010013037. The reversal of 10010013001 is 10031001001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7955748025 + 2054264976 = 89195^2 + 45324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010013001 - 2⁹ = 10010012489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010013401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005006500 + 5005006501.

It is an arithmetic number, because the mean of its divisors is an integer number (5005006501).

Almost surely, 2^10010013001 is an apocalyptic number.

It is an amenable number.

10010013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010013001 is an equidigital number, since it uses as much as digits as its factorization.

10010013001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10010013001 its reverse (10031001001), we get a palindrome (20041014002).

The spelling of 10010013001 in words is "ten billion, ten million, thirteen thousand, one".