21213130301120 has 112 divisors (see below), whose sum is σ = 51041377561440. Its totient is φ = 8396648054784.

The previous prime is 21213130300937. The next prime is 21213130301123. The reversal of 21213130301120 is 2110303131212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21213130301092 and 21213130301101.

It is not an unprimeable number, because it can be changed into a prime (21213130301123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253834382 + ... + 253917938.

It is an arithmetic number, because the mean of its divisors is an integer number (455726585370).

Almost surely, 2^{21213130301120} is an apocalyptic number.

21213130301120 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 21213130301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25520688780720).

21213130301120 is an abundant number, since it is smaller than the sum of its proper divisors (29828247260320).

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

21213130301120 is an equidigital number, since it uses as much as digits as its factorization.

21213130301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91850 (or 91840 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 21213130301120 its reverse (2110303131212), we get a palindrome (23323433432332).

The spelling of 21213130301120 in words is "twenty-one trillion, two hundred thirteen billion, one hundred thirty million, three hundred one thousand, one hundred twenty".