11322133122311 has 4 divisors (see below), whose sum is σ = 12351417951624. Its totient is φ = 10292848293000.

The previous prime is 11322133122277. The next prime is 11322133122323.

11322133122311 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11322133122311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322133128311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514642414640 + ... + 514642414661.

It is an arithmetic number, because the mean of its divisors is an integer number (3087854487906).

Almost surely, 2^{11322133122311} is an apocalyptic number.

11322133122311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11322133122311 is a deficient number, since it is larger than the sum of its proper divisors (1029284829313).

11322133122311 is a wasteful number, since it uses less digits than its factorization.

11322133122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029284829312.

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

It can be divided in two parts, 1132213 and 3122311, that added together give a palindrome (4254524).

The spelling of 11322133122311 in words is "eleven trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred eleven".