10130003101 has 2 divisors, whose sum is σ = 10130003102. Its totient is φ = 10130003100.

The previous prime is 10130003087. The next prime is 10130003119.

10130003101 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10126396900 + 3606201 = 100630^2 + 1899^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10130003101 - 2⁵ = 10130003069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10130006101) 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 as a sum of consecutive naturals, namely, 5065001550 + 5065001551.

It is an arithmetic number, because the mean of its divisors is an integer number (5065001551).

Almost surely, 2^10130003101 is an apocalyptic number.

It is an amenable number.

10130003101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130003101 is an equidigital number, since it uses as much as digits as its factorization.

10130003101 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.

It can be divided in two parts, 1013000 and 3101, that added together give a palindrome (1016101).

The spelling of 10130003101 in words is "ten billion, one hundred thirty million, three thousand, one hundred one".