21301301321300 has 288 divisors, whose sum is σ = 64064790257664. Its totient is φ = 5930947008000.

The previous prime is 21301301321297. The next prime is 21301301321309. The reversal of 21301301321300 is 312310310312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301301321309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 329162 + ... + 6535361.

Almost surely, 2^{21301301321300} is an apocalyptic number.

21301301321300 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 21301301321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32032395128832).

21301301321300 is an abundant number, since it is smaller than the sum of its proper divisors (42763488936364).

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

21301301321300 is a wasteful number, since it uses less digits than its factorization.

21301301321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864599 (or 6864592 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 21301301321300 its reverse (312310310312), we get a palindrome (21613611631612).

The spelling of 21301301321300 in words is "twenty-one trillion, three hundred one billion, three hundred one million, three hundred twenty-one thousand, three hundred".