21320133120 has 800 divisors, whose sum is σ = 89836750080. Its totient is φ = 4764303360.

The previous prime is 21320133113. The next prime is 21320133157. The reversal of 21320133120 is 2133102312.

21320133120 is a `hidden beast` number, since 21 + 320 + 13 + 312 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21320133093 and 21320133102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29652121 + ... + 29652839.

Almost surely, 2^21320133120 is an apocalyptic number.

21320133120 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 21320133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44918375040).

21320133120 is an abundant number, since it is smaller than the sum of its proper divisors (68516616960).

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

21320133120 is a wasteful number, since it uses less digits than its factorization.

21320133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 753 counting only the distinct ones).

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

Adding to 21320133120 its reverse (2133102312), we get a palindrome (23453235432).

The spelling of 21320133120 in words is "twenty-one billion, three hundred twenty million, one hundred thirty-three thousand, one hundred twenty".