21321330034032 has 360 divisors, whose sum is σ = 69664569588432. Its totient is φ = 6069695385600.

The previous prime is 21321330034021. The next prime is 21321330034033. The reversal of 21321330034032 is 23043003312312.

21321330034032 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 13 + 300 + 340 + 3 + 2 = 666.

It is a super-2 number, since 2×21321330034032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21321330033987 and 21321330034005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321330034033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2617073383 + ... + 2617081529.

Almost surely, 2^{21321330034032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21321330034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34832284794216).

21321330034032 is an abundant number, since it is smaller than the sum of its proper divisors (48343239554400).

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

21321330034032 is a wasteful number, since it uses less digits than its factorization.

21321330034032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9477 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 21321330034032 its reverse (23043003312312), we get a palindrome (44364333346344).

The spelling of 21321330034032 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred thirty million, thirty-four thousand, thirty-two".