21101311211310 has 192 divisors, whose sum is σ = 59975417399040. Its totient is φ = 5104841763840.

The previous prime is 21101311211269. The next prime is 21101311211363. The reversal of 21101311211310 is 1311211310112.

21101311211310 is a `hidden beast` number, since 2 + 1 + 10 + 131 + 1 + 211 + 310 = 666.

It is a super-2 number, since 2×21101311211310² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 1964917921 + ... + 1964928659.

It is an arithmetic number, because the mean of its divisors is an integer number (312371965620).

Almost surely, 2^{21101311211310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101311211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29987708699520).

21101311211310 is an abundant number, since it is smaller than the sum of its proper divisors (38874106187730).

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

21101311211310 is a wasteful number, since it uses less digits than its factorization.

21101311211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14703 (or 14700 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 21101311211310 its reverse (1311211310112), we get a palindrome (22412522521422).

The spelling of 21101311211310 in words is "twenty-one trillion, one hundred one billion, three hundred eleven million, two hundred eleven thousand, three hundred ten".