10029666013 has 2 divisors, whose sum is σ = 10029666014. Its totient is φ = 10029666012.

The previous prime is 10029666007. The next prime is 10029666047. The reversal of 10029666013 is 31066692001.

It is an a-pointer prime, because the next prime (10029666047) can be obtained adding 10029666013 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6269155684 + 3760510329 = 79178^2 + 61323^2 .

It is a cyclic number.

It is not a de Polignac number, because 10029666013 - 2⁹ = 10029665501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10029666013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10029660013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5014833006 + 5014833007.

It is an arithmetic number, because the mean of its divisors is an integer number (5014833007).

Almost surely, 2^10029666013 is an apocalyptic number.

It is an amenable number.

10029666013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029666013 is an equidigital number, since it uses as much as digits as its factorization.

10029666013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 10029666013 in words is "ten billion, twenty-nine million, six hundred sixty-six thousand, thirteen".