21300000000000 has 576 divisors, whose sum is σ = 71982421580160. Its totient is φ = 5600000000000.

The previous prime is 21299999999989. The next prime is 21300000000023. The reversal of 21300000000000 is 312.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 21299999999898 and 21299999999907.

It is a congruent number.

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, 299999999965 + ... + 300000000035.

It is an arithmetic number, because the mean of its divisors is an integer number (124969481910).

Almost surely, 2^{21300000000000} is an apocalyptic number.

21300000000000 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 21300000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35991210790080).

21300000000000 is an abundant number, since it is smaller than the sum of its proper divisors (50682421580160).

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

21300000000000 is an frugal number, since it uses more digits than its factorization.

21300000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 21300000000000 its reverse (312), we get a palindrome (21300000000312).

The spelling of 21300000000000 in words is "twenty-one trillion, three hundred billion", and thus it is an aban number.