11100111013009 has 2 divisors, whose sum is σ = 11100111013010. Its totient is φ = 11100111013008.

The previous prime is 11100111013007. The next prime is 11100111013091. The reversal of 11100111013009 is 90031011100111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9144406656784 + 1955704356225 = 3023972^2 + 1398465^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100111013009 - 2¹ = 11100111013007 is a prime.

It is a super-2 number, since 2×11100111013009² (a number of 27 digits) contains 22 as substring.

Together with 11100111013007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11100111013003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550055506504 + 5550055506505.

It is an arithmetic number, because the mean of its divisors is an integer number (5550055506505).

Almost surely, 2^{11100111013009} is an apocalyptic number.

It is an amenable number.

11100111013009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100111013009 is an equidigital number, since it uses as much as digits as its factorization.

11100111013009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 19.

The spelling of 11100111013009 in words is "eleven trillion, one hundred billion, one hundred eleven million, thirteen thousand, nine".