211313121331 has 12 divisors (see below), whose sum is σ = 236199593280. Its totient is φ = 188766059040.

The previous prime is 211313121289. The next prime is 211313121401. The reversal of 211313121331 is 133121313112.

211313121331 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 211313121331 - 2¹⁵ = 211313088563 is a prime.

It is a super-2 number, since 2×211313121331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211313121031) 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 11 ways as a sum of consecutive naturals, for example, 20162076 + ... + 20172553.

It is an arithmetic number, because the mean of its divisors is an integer number (19683299440).

Almost surely, 2^211313121331 is an apocalyptic number.

211313121331 is a deficient number, since it is larger than the sum of its proper divisors (24886471949).

211313121331 is a wasteful number, since it uses less digits than its factorization.

211313121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40334686 (or 40334673 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

Adding to 211313121331 its reverse (133121313112), we get a palindrome (344434434443).

The spelling of 211313121331 in words is "two hundred eleven billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred thirty-one".