11000100000013 has 4 divisors (see below), whose sum is σ = 11000129503068. Its totient is φ = 11000070496960.

The previous prime is 11000100000007. The next prime is 11000100000047. The reversal of 11000100000013 is 31000000100011.

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 5676272895049 + 5323827104964 = 2382493^2 + 2307342^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000100000013 - 2¹³ = 11000099991821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000099999951 and 11000100000005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000100070013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14185006 + ... + 14940367.

It is an arithmetic number, because the mean of its divisors is an integer number (2750032375767).

Almost surely, 2^{11000100000013} is an apocalyptic number.

It is an amenable number.

11000100000013 is a deficient number, since it is larger than the sum of its proper divisors (29503055).

11000100000013 is an equidigital number, since it uses as much as digits as its factorization.

11000100000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29503054.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 11000100000013 its reverse (31000000100011), we get a palindrome (42000100100024).

The spelling of 11000100000013 in words is "eleven trillion, one hundred million, thirteen", and thus it is an aban number.