21300033210320 has 20 divisors (see below), whose sum is σ = 49522577214180. Its totient is φ = 8520013284096.

The previous prime is 21300033210299. The next prime is 21300033210341. The reversal of 21300033210320 is 2301233000312.

It is an interprime number because it is at equal distance from previous prime (21300033210299) and next prime (21300033210341).

It can be written as a sum of positive squares in 2 ways, for example, as 16883092081216 + 4416941129104 = 4108904^2 + 2101652^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21300033210292 and 21300033210301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133125207485 + ... + 133125207644.

It is an arithmetic number, because the mean of its divisors is an integer number (2476128860709).

Almost surely, 2^{21300033210320} is an apocalyptic number.

21300033210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300033210320 is an abundant number, since it is smaller than the sum of its proper divisors (28222544003860).

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

21300033210320 is a wasteful number, since it uses less digits than its factorization.

21300033210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266250415142 (or 266250415136 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 21300033210320 its reverse (2301233000312), we get a palindrome (23601266210632).

The spelling of 21300033210320 in words is "twenty-one trillion, three hundred billion, thirty-three million, two hundred ten thousand, three hundred twenty".