21320013021300 has 576 divisors, whose sum is σ = 79390598676480. Its totient is φ = 4867478179200.

The previous prime is 21320013021299. The next prime is 21320013021379. The reversal of 21320013021300 is 312031002312.

21320013021300 is a `hidden beast` number, since 2 + 1 + 320 + 0 + 130 + 213 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1394642257 + ... + 1394657543.

It is an arithmetic number, because the mean of its divisors is an integer number (137830900480).

Almost surely, 2^{21320013021300} is an apocalyptic number.

21320013021300 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 21320013021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39695299338240).

21320013021300 is an abundant number, since it is smaller than the sum of its proper divisors (58070585655180).

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

21320013021300 is a wasteful number, since it uses less digits than its factorization.

21320013021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16215 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21320013021300 its reverse (312031002312), we get a palindrome (21632044023612).

The spelling of 21320013021300 in words is "twenty-one trillion, three hundred twenty billion, thirteen million, twenty-one thousand, three hundred".