21330133043140 has 96 divisors (see below), whose sum is σ = 47735050585824. Its totient is φ = 7978220789760.

The previous prime is 21330133043119. The next prime is 21330133043183. The reversal of 21330133043140 is 4134033103312.

It can be written as a sum of positive squares in 16 ways, for example, as 447938395524 + 20882194647616 = 669282^2 + 4569704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21330133043099 and 21330133043108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012768210 + ... + 1012789270.

It is an arithmetic number, because the mean of its divisors is an integer number (497240110269).

Almost surely, 2^{21330133043140} is an apocalyptic number.

21330133043140 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 21330133043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23867525292912).

21330133043140 is an abundant number, since it is smaller than the sum of its proper divisors (26404917542684).

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

21330133043140 is a wasteful number, since it uses less digits than its factorization.

21330133043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40217 (or 40215 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 21330133043140 its reverse (4134033103312), we get a palindrome (25464166146452).

It can be divided in two parts, 2133013 and 3043140, that added together give a triangular number (5176153 = T₃₂₁₇).

The spelling of 21330133043140 in words is "twenty-one trillion, three hundred thirty billion, one hundred thirty-three million, forty-three thousand, one hundred forty".