21330313101300 has 288 divisors, whose sum is σ = 70808169987072. Its totient is φ = 4856439582720.

The previous prime is 21330313101289. The next prime is 21330313101323. The reversal of 21330313101300 is 310131303312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 2149578139 + ... + 2149588061.

It is an arithmetic number, because the mean of its divisors is an integer number (245861701344).

Almost surely, 2^{21330313101300} is an apocalyptic number.

21330313101300 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 21330313101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35404084993536).

21330313101300 is an abundant number, since it is smaller than the sum of its proper divisors (49477856885772).

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

21330313101300 is a wasteful number, since it uses less digits than its factorization.

21330313101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13847 (or 13840 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 21330313101300 its reverse (310131303312), we get a palindrome (21640444404612).

The spelling of 21330313101300 in words is "twenty-one trillion, three hundred thirty billion, three hundred thirteen million, one hundred one thousand, three hundred".