11111111100013 has 4 divisors (see below), whose sum is σ = 11764705870620. Its totient is φ = 10457516329408.

The previous prime is 11111111099989. The next prime is 11111111100071. The reversal of 11111111100013 is 31000111111111.

It is a happy number.

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 8081273046564 + 3029838053449 = 2842758^2 + 1740643^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11111111100013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11111111099966 and 11111111100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111111107013) 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, 326797385278 + ... + 326797385311.

It is an arithmetic number, because the mean of its divisors is an integer number (2941176467655).

Almost surely, 2^{11111111100013} is an apocalyptic number.

It is an amenable number.

11111111100013 is a deficient number, since it is larger than the sum of its proper divisors (653594770607).

11111111100013 is an equidigital number, since it uses as much as digits as its factorization.

11111111100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653594770606.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 11111111100013 its reverse (31000111111111), we get a palindrome (42111222211124).

The spelling of 11111111100013 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, thirteen".