21330313311300 has 288 divisors, whose sum is σ = 71394030489600. Its totient is φ = 4816035671040.

The previous prime is 21330313311227. The next prime is 21330313311311. The reversal of 21330313311300 is 311331303312.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194134179 + ... + 194244021.

It is an arithmetic number, because the mean of its divisors is an integer number (247895939200).

Almost surely, 2^{21330313311300} is an apocalyptic number.

21330313311300 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 21330313311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35697015244800).

21330313311300 is an abundant number, since it is smaller than the sum of its proper divisors (50063717178300).

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

21330313311300 is a wasteful number, since it uses less digits than its factorization.

21330313311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110995 (or 110988 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 21330313311300 its reverse (311331303312), we get a palindrome (21641644614612).

The spelling of 21330313311300 in words is "twenty-one trillion, three hundred thirty billion, three hundred thirteen million, three hundred eleven thousand, three hundred".