21033301330032 has 160 divisors (see below), whose sum is σ = 55205309491200. Its totient is φ = 6899923989504.

The previous prime is 21033301330009. The next prime is 21033301330049. The reversal of 21033301330032 is 23003310333012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21033301329984 and 21033301330011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625620519 + ... + 625654137.

It is an arithmetic number, because the mean of its divisors is an integer number (345033184320).

Almost surely, 2^{21033301330032} 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 21033301330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27602654745600).

21033301330032 is an abundant number, since it is smaller than the sum of its proper divisors (34172008161168).

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

21033301330032 is a wasteful number, since it uses less digits than its factorization.

21033301330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34543 (or 34537 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 21033301330032 its reverse (23003310333012), we get a palindrome (44036611663044).

The spelling of 21033301330032 in words is "twenty-one trillion, thirty-three billion, three hundred one million, three hundred thirty thousand, thirty-two".