10000011111113 has 4 divisors (see below), whose sum is σ = 10018495420548. Its totient is φ = 9981526801680.

The previous prime is 10000011111109. The next prime is 10000011111151. The reversal of 10000011111113 is 31111111000001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5290538213689 + 4709472897424 = 2300117^2 + 2170132^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000011111113 - 2² = 10000011111109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000011111094 and 10000011111103.

It is not an unprimeable number, because it can be changed into a prime (10000011111613) 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 3 ways as a sum of consecutive naturals, for example, 9242153906 + ... + 9242154987.

It is an arithmetic number, because the mean of its divisors is an integer number (2504623855137).

Almost surely, 2^{10000011111113} is an apocalyptic number.

It is an amenable number.

10000011111113 is a deficient number, since it is larger than the sum of its proper divisors (18484309435).

10000011111113 is an equidigital number, since it uses as much as digits as its factorization.

10000011111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18484309434.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10000011111113 its reverse (31111111000001), we get a palindrome (41111122111114).

The spelling of 10000011111113 in words is "ten trillion, eleven million, one hundred eleven thousand, one hundred thirteen".