10001110013 has 6 divisors (see below), whose sum is σ = 10624016826. Its totient is φ = 9412809152.

The previous prime is 10001109997. The next prime is 10001110099. The reversal of 10001110013 is 31001110001.

It can be written as a sum of positive squares in 3 ways, for example, as 2503801444 + 7497308569 = 50038^2 + 86587^2 .

It is not a de Polignac number, because 10001110013 - 2⁴ = 10001109997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001113013) 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 5 ways as a sum of consecutive naturals, for example, 17302670 + ... + 17303247.

It is an arithmetic number, because the mean of its divisors is an integer number (1770669471).

Almost surely, 2^10001110013 is an apocalyptic number.

It is an amenable number.

10001110013 is a deficient number, since it is larger than the sum of its proper divisors (622906813).

10001110013 is an equidigital number, since it uses as much as digits as its factorization.

10001110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34605951 (or 34605934 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10001110013 its reverse (31001110001), we get a palindrome (41002220014).

The spelling of 10001110013 in words is "ten billion, one million, one hundred ten thousand, thirteen".