21331312323120 has 320 divisors, whose sum is σ = 75279011834880. Its totient is φ = 5548693248000.

The previous prime is 21331312323091. The next prime is 21331312323133. The reversal of 21331312323120 is 2132321313312.

21331312323120 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 1 + 312 + 32 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659844397 + ... + 659876723.

It is an arithmetic number, because the mean of its divisors is an integer number (235246911984).

Almost surely, 2^{21331312323120} is an apocalyptic number.

21331312323120 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 21331312323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37639505917440).

21331312323120 is an abundant number, since it is smaller than the sum of its proper divisors (53947699511760).

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

21331312323120 is a wasteful number, since it uses less digits than its factorization.

21331312323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39841 (or 39829 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21331312323120 its reverse (2132321313312), we get a palindrome (23463633636432).

The spelling of 21331312323120 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred twelve million, three hundred twenty-three thousand, one hundred twenty".