11023233232011 has 256 divisors, whose sum is σ = 20679801569280. Its totient is φ = 5079625689600.

The previous prime is 11023233231991. The next prime is 11023233232027.

11023233232011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11023233232011 - 2⁶ = 11023233231947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11023233233011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2349866176 + ... + 2349870866.

It is an arithmetic number, because the mean of its divisors is an integer number (80780474880).

Almost surely, 2^{11023233232011} is an apocalyptic number.

11023233232011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11023233232011 is a deficient number, since it is larger than the sum of its proper divisors (9656568337269).

11023233232011 is a wasteful number, since it uses less digits than its factorization.

11023233232011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1102323 and 3232011, that added together give a palindrome (4334334).

The spelling of 11023233232011 in words is "eleven trillion, twenty-three billion, two hundred thirty-three million, two hundred thirty-two thousand, eleven".