21313030320 has 240 divisors, whose sum is σ = 74195652960. Its totient is φ = 5476294656.

The previous prime is 21313030241. The next prime is 21313030351. The reversal of 21313030320 is 2303031312.

21313030320 is a `hidden beast` number, since 2 + 1 + 313 + 0 + 30 + 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 2×21313030320² (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 = 21313030293 and 21313030302.

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, 16431912 + ... + 16433208.

It is an arithmetic number, because the mean of its divisors is an integer number (309148554).

Almost surely, 2^21313030320 is an apocalyptic number.

21313030320 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 21313030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37097826480).

21313030320 is an abundant number, since it is smaller than the sum of its proper divisors (52882622640).

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

21313030320 is a wasteful number, since it uses less digits than its factorization.

21313030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21313030320 its reverse (2303031312), we get a palindrome (23616061632).

The spelling of 21313030320 in words is "twenty-one billion, three hundred thirteen million, thirty thousand, three hundred twenty".