21023313311300 has 144 divisors (see below), whose sum is σ = 49499095636368. Its totient is φ = 7718998425600.

The previous prime is 21023313311197. The next prime is 21023313311311. The reversal of 21023313311300 is 311331332012.

It can be written as a sum of positive squares in 24 ways, for example, as 15694021018624 + 5329292292676 = 3961568^2 + 2308526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211629242 + ... + 211728558.

It is an arithmetic number, because the mean of its divisors is an integer number (343743719697).

Almost surely, 2^{21023313311300} is an apocalyptic number.

21023313311300 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 21023313311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24749547818184).

21023313311300 is an abundant number, since it is smaller than the sum of its proper divisors (28475782325068).

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

21023313311300 is a wasteful number, since it uses less digits than its factorization.

21023313311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102426 (or 102419 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 21023313311300 its reverse (311331332012), we get a palindrome (21334644643312).

The spelling of 21023313311300 in words is "twenty-one trillion, twenty-three billion, three hundred thirteen million, three hundred eleven thousand, three hundred".