11011131567009 has 40 divisors (see below), whose sum is σ = 18802639361088. Its totient is φ = 6290704956960.

The previous prime is 11011131566993. The next prime is 11011131567061. The reversal of 11011131567009 is 90076513111011.

11011131567009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11011131567009 - 2⁴ = 11011131566993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11011131566009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 494254 + ... + 4718744.

Almost surely, 2^{11011131567009} is an apocalyptic number.

It is an amenable number.

11011131567009 is a deficient number, since it is larger than the sum of its proper divisors (7791507794079).

11011131567009 is an equidigital number, since it uses as much as digits as its factorization.

11011131567009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229107 (or 4229098 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

The spelling of 11011131567009 in words is "eleven trillion, eleven billion, one hundred thirty-one million, five hundred sixty-seven thousand, nine".