11023366332011 has 32 divisors (see below), whose sum is σ = 12889395648000. Its totient is φ = 9399808044000.

The previous prime is 11023366331963. The next prime is 11023366332061.

11023366332011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11023366332011 - 2⁴² = 6625319820907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11023366332061) 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 in 31 ways as a sum of consecutive naturals, for example, 396290 + ... + 4712088.

It is an arithmetic number, because the mean of its divisors is an integer number (402793614000).

Almost surely, 2^{11023366332011} is an apocalyptic number.

11023366332011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11023366332011 is a deficient number, since it is larger than the sum of its proper divisors (1866029315989).

11023366332011 is a wasteful number, since it uses less digits than its factorization.

11023366332011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315952 (or 4315930 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

It can be divided in two parts, 1102336 and 6332011, that added together give a palindrome (7434347).

The spelling of 11023366332011 in words is "eleven trillion, twenty-three billion, three hundred sixty-six million, three hundred thirty-two thousand, eleven".