21132130320 has 240 divisors, whose sum is σ = 82638496512. Its totient is φ = 4739005440.

The previous prime is 21132130307. The next prime is 21132130337. The reversal of 21132130320 is 2303123112.

21132130320 is a `hidden beast` number, since 21 + 1 + 321 + 3 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21132130320² (a number of 21 digits) contains 22 as substring.

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 = 21132130293 and 21132130302.

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, 227565 + ... + 306675.

Almost surely, 2^21132130320 is an apocalyptic number.

21132130320 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 21132130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319248256).

21132130320 is an abundant number, since it is smaller than the sum of its proper divisors (61506366192).

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

21132130320 is a wasteful number, since it uses less digits than its factorization.

21132130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79190 (or 79181 counting only the distinct ones).

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

Adding to 21132130320 its reverse (2303123112), we get a palindrome (23435253432).

The spelling of 21132130320 in words is "twenty-one billion, one hundred thirty-two million, one hundred thirty thousand, three hundred twenty".