211311133122 has 64 divisors (see below), whose sum is σ = 435793822848. Its totient is φ = 68257728000.

The previous prime is 211311133109. The next prime is 211311133151. The reversal of 211311133122 is 221331113112.

211311133122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71123097 + ... + 71126067.

It is an arithmetic number, because the mean of its divisors is an integer number (6809278482).

Almost surely, 2^211311133122 is an apocalyptic number.

211311133122 is an abundant number, since it is smaller than the sum of its proper divisors (224482689726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211311133122 is a wasteful number, since it uses less digits than its factorization.

211311133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195.

The product of its digits is 216, while the sum is 21.

Adding to 211311133122 its reverse (221331113112), we get a palindrome (432642246234).

The spelling of 211311133122 in words is "two hundred eleven billion, three hundred eleven million, one hundred thirty-three thousand, one hundred twenty-two".