11232133123211 has 64 divisors (see below), whose sum is σ = 15403970727936. Its totient is φ = 7906035456000.

The previous prime is 11232133123177. The next prime is 11232133123247.

11232133123211 is nontrivially palindromic in base 10.

11232133123211 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 11232133123211 - 2³⁴ = 11214953254027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11232133123271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465800291 + ... + 465824403.

It is an arithmetic number, because the mean of its divisors is an integer number (240687042624).

Almost surely, 2^{11232133123211} is an apocalyptic number.

11232133123211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11232133123211 is a deficient number, since it is larger than the sum of its proper divisors (4171837604725).

11232133123211 is a wasteful number, since it uses less digits than its factorization.

11232133123211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34092.

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 1123213 and 3123211, that added together give a palindrome (4246424).

The spelling of 11232133123211 in words is "eleven trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred eleven".