100000011111113 has 4 divisors (see below), whose sum is σ = 100080075172500. Its totient is φ = 99919947049728.

The previous prime is 100000011111079. The next prime is 100000011111139. The reversal of 100000011111113 is 311111110000001.

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 42835100791609 + 57164910319504 = 6544853^2 + 7560748^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000011111113 - 2¹⁴ = 100000011094729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100000011111094 and 100000011111103.

It is not an unprimeable number, because it can be changed into a prime (100000011111613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40032028820 + ... + 40032031317.

It is an arithmetic number, because the mean of its divisors is an integer number (25020018793125).

Almost surely, 2^{100000011111113} is an apocalyptic number.

It is an amenable number.

100000011111113 is a deficient number, since it is larger than the sum of its proper divisors (80064061387).

100000011111113 is an equidigital number, since it uses as much as digits as its factorization.

100000011111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80064061386.

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

Adding to 100000011111113 its reverse (311111110000001), we get a palindrome (411111121111114).

The spelling of 100000011111113 in words is "one hundred trillion, eleven million, one hundred eleven thousand, one hundred thirteen".