10013101004917 has 2 divisors, whose sum is σ = 10013101004918. Its totient is φ = 10013101004916.

The previous prime is 10013101004897. The next prime is 10013101004927. The reversal of 10013101004917 is 71940010131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9711693416881 + 301407588036 = 3116359^2 + 549006^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013101004917 - 2⁴³ = 1217007982709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013101004927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006550502458 + 5006550502459.

It is an arithmetic number, because the mean of its divisors is an integer number (5006550502459).

Almost surely, 2^{10013101004917} is an apocalyptic number.

It is an amenable number.

10013101004917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013101004917 is an equidigital number, since it uses as much as digits as its factorization.

10013101004917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 28.

Adding to 10013101004917 its reverse (71940010131001), we get a palindrome (81953111135918).

The spelling of 10013101004917 in words is "ten trillion, thirteen billion, one hundred one million, four thousand, nine hundred seventeen".