10110001000013 has 2 divisors, whose sum is σ = 10110001000014. Its totient is φ = 10110001000012.

The previous prime is 10110000999977. The next prime is 10110001000039. The reversal of 10110001000013 is 31000010001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9919488828484 + 190512171529 = 3149522^2 + 436477^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110001000013 - 2⁶ = 10110000999949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110001000613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055000500006 + 5055000500007.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000500007).

Almost surely, 2^{10110001000013} is an apocalyptic number.

It is an amenable number.

10110001000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110001000013 is an equidigital number, since it uses as much as digits as its factorization.

10110001000013 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 8.

Adding to 10110001000013 its reverse (31000010001101), we get a palindrome (41110011001114).

The spelling of 10110001000013 in words is "ten trillion, one hundred ten billion, one million, thirteen", and thus it is an aban number.