2122011331 has 16 divisors (see below), whose sum is σ = 2356563456. Its totient is φ = 1894500000.

The previous prime is 2122011271. The next prime is 2122011373. The reversal of 2122011331 is 1331102212.

It is a cyclic number.

It is not a de Polignac number, because 2122011331 - 2⁹ = 2122010819 is a prime.

It is a super-3 number, since 3×2122011331³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122018331) 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 15 ways as a sum of consecutive naturals, for example, 501816 + ... + 506026.

It is an arithmetic number, because the mean of its divisors is an integer number (147285216).

Almost surely, 2^2122011331 is an apocalyptic number.

2122011331 is a deficient number, since it is larger than the sum of its proper divisors (234552125).

2122011331 is a wasteful number, since it uses less digits than its factorization.

2122011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2122011331 is about 46065.2942137571. The cubic root of 2122011331 is about 1285.0377902254.

Adding to 2122011331 its reverse (1331102212), we get a palindrome (3453113543).

The spelling of 2122011331 in words is "two billion, one hundred twenty-two million, eleven thousand, three hundred thirty-one".