21311411310 has 256 divisors, whose sum is σ = 69001113600. Its totient is φ = 4569219072.

The previous prime is 21311411309. The next prime is 21311411371. The reversal of 21311411310 is 1311411312.

It is a happy number.

21311411310 is a `hidden beast` number, since 2 + 1 + 311 + 41 + 1 + 310 = 666.

It is a super-2 number, since 2×21311411310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11340951 + ... + 11342829.

It is an arithmetic number, because the mean of its divisors is an integer number (269535600).

Almost surely, 2^21311411310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311411310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34500556800).

21311411310 is an abundant number, since it is smaller than the sum of its proper divisors (47689702290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21311411310 is a wasteful number, since it uses less digits than its factorization.

21311411310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2266 counting only the distinct ones).

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

Adding to 21311411310 its reverse (1311411312), we get a palindrome (22622822622).

The spelling of 21311411310 in words is "twenty-one billion, three hundred eleven million, four hundred eleven thousand, three hundred ten".