11056133165011 has 16 divisors (see below), whose sum is σ = 12610859616000. Its totient is φ = 9594762138720.

The previous prime is 11056133164957. The next prime is 11056133165041.

11056133165011 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-11056133165011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11056133165041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43661460 + ... + 43913953.

It is an arithmetic number, because the mean of its divisors is an integer number (788178726000).

Almost surely, 2^{11056133165011} is an apocalyptic number.

11056133165011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11056133165011 is a deficient number, since it is larger than the sum of its proper divisors (1554726450989).

11056133165011 is a wasteful number, since it uses less digits than its factorization.

11056133165011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87575946.

The product of its (nonzero) digits is 8100, while the sum is 34.

The spelling of 11056133165011 in words is "eleven trillion, fifty-six billion, one hundred thirty-three million, one hundred sixty-five thousand, eleven".