21011332133220 has 192 divisors, whose sum is σ = 69266291318784. Its totient is φ = 4691680519680.

The previous prime is 21011332133201. The next prime is 21011332133227. The reversal of 21011332133220 is 2233123311012.

It is not an unprimeable number, because it can be changed into a prime (21011332133227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1327969 + ... + 6617111.

It is an arithmetic number, because the mean of its divisors is an integer number (360761933952).

Almost surely, 2^{21011332133220} is an apocalyptic number.

21011332133220 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 21011332133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34633145659392).

21011332133220 is an abundant number, since it is smaller than the sum of its proper divisors (48254959185564).

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

21011332133220 is a wasteful number, since it uses less digits than its factorization.

21011332133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289642 (or 5289640 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21011332133220 its reverse (2233123311012), we get a palindrome (23244455444232).

The spelling of 21011332133220 in words is "twenty-one trillion, eleven billion, three hundred thirty-two million, one hundred thirty-three thousand, two hundred twenty".