21133132020000 has 2880 divisors, whose sum is σ = 102779282301696. Its totient is φ = 3975229440000.

The previous prime is 21133132019941. The next prime is 21133132020001. The reversal of 21133132020000 is 2023133112.

21133132020000 is a `hidden beast` number, since 2 + 11 + 331 + 320 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21133132020001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9549538894 + ... + 9549541106.

Almost surely, 2^{21133132020000} is an apocalyptic number.

21133132020000 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 21133132020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51389641150848).

21133132020000 is an abundant number, since it is smaller than the sum of its proper divisors (81646150281696).

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

21133132020000 is a wasteful number, since it uses less digits than its factorization.

21133132020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21133132020000 its reverse (2023133112), we get a palindrome (21135155153112).

The spelling of 21133132020000 in words is "twenty-one trillion, one hundred thirty-three billion, one hundred thirty-two million, twenty thousand".