21301322310312 has 256 divisors, whose sum is σ = 62145680025600. Its totient is φ = 6023497159680.

The previous prime is 21301322310311. The next prime is 21301322310343.

21301322310312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21301322310312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21301322310311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26794693 + ... + 27578219.

It is an arithmetic number, because the mean of its divisors is an integer number (242756562600).

Almost surely, 2^{21301322310312} is an apocalyptic number.

21301322310312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21301322310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31072840012800).

21301322310312 is an abundant number, since it is smaller than the sum of its proper divisors (40844357715288).

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

21301322310312 is a wasteful number, since it uses less digits than its factorization.

21301322310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783696 (or 783692 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2130132 and 2310312, that added together give a palindrome (4440444).

The spelling of 21301322310312 in words is "twenty-one trillion, three hundred one billion, three hundred twenty-two million, three hundred ten thousand, three hundred twelve".