21011312300000 has 288 divisors, whose sum is σ = 56431847193120. Its totient is φ = 7636787200000.

The previous prime is 21011312299963. The next prime is 21011312300009. The reversal of 21011312300000 is 321311012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011312300009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3450696956 + ... + 3450703044.

It is an arithmetic number, because the mean of its divisors is an integer number (195943913865).

Almost surely, 2^{21011312300000} is an apocalyptic number.

21011312300000 is a gapful number since it is divisible by the number (20) 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 21011312300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215923596560).

21011312300000 is an abundant number, since it is smaller than the sum of its proper divisors (35420534893120).

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

21011312300000 is an equidigital number, since it uses as much as digits as its factorization.

21011312300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9272 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21011312300000 its reverse (321311012), we get a palindrome (21011633611012).

It can be divided in two parts, 21011312 and 300000, that added together give a palindrome (21311312).

The spelling of 21011312300000 in words is "twenty-one trillion, eleven billion, three hundred twelve million, three hundred thousand".