910010100013 has 16 divisors (see below), whose sum is σ = 1079971917696. Its totient is φ = 750559599360.

The previous prime is 910010100001. The next prime is 910010100017. The reversal of 910010100013 is 310001010019.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 910010100013 - 2²⁹ = 909473229101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 910010100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (910010100017) 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 in 15 ways as a sum of consecutive naturals, for example, 21696631 + ... + 21738532.

It is an arithmetic number, because the mean of its divisors is an integer number (67498244856).

Almost surely, 2^910010100013 is an apocalyptic number.

It is an amenable number.

910010100013 is a deficient number, since it is larger than the sum of its proper divisors (169961817683).

910010100013 is a wasteful number, since it uses less digits than its factorization.

910010100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43435284.

The product of its (nonzero) digits is 27, while the sum is 16.

The spelling of 910010100013 in words is "nine hundred ten billion, ten million, one hundred thousand, thirteen".