11001100013 has 2 divisors, whose sum is σ = 11001100014. Its totient is φ = 11001100012.

The previous prime is 11001099953. The next prime is 11001100021. The reversal of 11001100013 is 31000110011.

It is an a-pointer prime, because the next prime (11001100021) can be obtained adding 11001100013 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7085093929 + 3916006084 = 84173^2 + 62578^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001100013 - 2¹⁴ = 11001083629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001100093) 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 as a sum of consecutive naturals, namely, 5500550006 + 5500550007.

It is an arithmetic number, because the mean of its divisors is an integer number (5500550007).

Almost surely, 2^11001100013 is an apocalyptic number.

It is an amenable number.

11001100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001100013 is an equidigital number, since it uses as much as digits as its factorization.

11001100013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11001100013 its reverse (31000110011), we get a palindrome (42001210024).

The spelling of 11001100013 in words is "eleven billion, one million, one hundred thousand, thirteen".