211331311121 has 16 divisors (see below), whose sum is σ = 242155870464. Its totient is φ = 180665697024.

The previous prime is 211331311097. The next prime is 211331311127. The reversal of 211331311121 is 121113133112.

It is a cyclic number.

It is not a de Polignac number, because 211331311121 - 2²⁶ = 211264202257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211331311093 and 211331311102.

It is not an unprimeable number, because it can be changed into a prime (211331311127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7993901 + ... + 8020293.

It is an arithmetic number, because the mean of its divisors is an integer number (15134741904).

Almost surely, 2^211331311121 is an apocalyptic number.

It is an amenable number.

211331311121 is a deficient number, since it is larger than the sum of its proper divisors (30824559343).

211331311121 is a wasteful number, since it uses less digits than its factorization.

211331311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29360.

The product of its digits is 108, while the sum is 20.

Adding to 211331311121 its reverse (121113133112), we get a palindrome (332444444233).

The spelling of 211331311121 in words is "two hundred eleven billion, three hundred thirty-one million, three hundred eleven thousand, one hundred twenty-one".