21111310311 has 96 divisors (see below), whose sum is σ = 38350771200. Its totient is φ = 10023754752.

The previous prime is 21111310307. The next prime is 21111310327. The reversal of 21111310311 is 11301311112.

It is not a de Polignac number, because 21111310311 - 2² = 21111310307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111310361) 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 95 ways as a sum of consecutive naturals, for example, 2450790 + ... + 2459388.

It is an arithmetic number, because the mean of its divisors is an integer number (399487200).

Almost surely, 2^21111310311 is an apocalyptic number.

21111310311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21111310311 is a deficient number, since it is larger than the sum of its proper divisors (17239460889).

21111310311 is a wasteful number, since it uses less digits than its factorization.

21111310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8685 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 21111310311 its reverse (11301311112), we get a palindrome (32412621423).

The spelling of 21111310311 in words is "twenty-one billion, one hundred eleven million, three hundred ten thousand, three hundred eleven".