21131131311 has 32 divisors (see below), whose sum is σ = 31503830720. Its totient is φ = 13998292992.

The previous prime is 21131131289. The next prime is 21131131313. The reversal of 21131131311 is 11313113112.

21131131311 is a `hidden beast` number, since 2 + 11 + 311 + 31 + 311 = 666.

It is not a de Polignac number, because 21131131311 - 2¹⁰ = 21131130287 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 (21131131313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6006525 + ... + 6010041.

It is an arithmetic number, because the mean of its divisors is an integer number (984494710).

Almost surely, 2^21131131311 is an apocalyptic number.

21131131311 is a deficient number, since it is larger than the sum of its proper divisors (10372699409).

21131131311 is a wasteful number, since it uses less digits than its factorization.

21131131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4866 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 21131131311 its reverse (11313113112), we get a palindrome (32444244423).

The spelling of 21131131311 in words is "twenty-one billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred eleven".