21130343630304 has 192 divisors, whose sum is σ = 57497623848000. Its totient is φ = 6786621112320.

The previous prime is 21130343630303. The next prime is 21130343630339. The reversal of 21130343630304 is 40303634303112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21130343630303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4715539744 + ... + 4715544224.

It is an arithmetic number, because the mean of its divisors is an integer number (299466790875).

Almost surely, 2^{21130343630304} is an apocalyptic number.

21130343630304 is a gapful number since it is divisible by the number (24) 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 21130343630304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748811924000).

21130343630304 is an abundant number, since it is smaller than the sum of its proper divisors (36367280217696).

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

21130343630304 is a wasteful number, since it uses less digits than its factorization.

21130343630304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 21130343630304 its reverse (40303634303112), we get a palindrome (61433977933416).

The spelling of 21130343630304 in words is "twenty-one trillion, one hundred thirty billion, three hundred forty-three million, six hundred thirty thousand, three hundred four".