21321121311 has 48 divisors (see below), whose sum is σ = 35584111680. Its totient is φ = 12049689600.

The previous prime is 21321121307. The next prime is 21321121337. The reversal of 21321121311 is 11312112312.

21321121311 is a `hidden beast` number, since 21 + 321 + 12 + 1 + 311 = 666.

It is not a de Polignac number, because 21321121311 - 2² = 21321121307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321121411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11382471 + ... + 11384343.

It is an arithmetic number, because the mean of its divisors is an integer number (741335660).

Almost surely, 2^21321121311 is an apocalyptic number.

21321121311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21321121311 is a deficient number, since it is larger than the sum of its proper divisors (14262990369).

21321121311 is a wasteful number, since it uses less digits than its factorization.

21321121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3773 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 21321121311 its reverse (11312112312), we get a palindrome (32633233623).

The spelling of 21321121311 in words is "twenty-one billion, three hundred twenty-one million, one hundred twenty-one thousand, three hundred eleven".