2133020110320 has 240 divisors, whose sum is σ = 7827630187104. Its totient is φ = 516234240000.

The previous prime is 2133020110303. The next prime is 2133020110411. The reversal of 2133020110320 is 230110203312.

2133020110320 is a `hidden beast` number, since 2 + 1 + 330 + 2 + 0 + 1 + 10 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2133020110293 and 2133020110302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4535860 + ... + 4983980.

Almost surely, 2^{2133020110320} is an apocalyptic number.

2133020110320 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 2133020110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913815093552).

2133020110320 is an abundant number, since it is smaller than the sum of its proper divisors (5694610076784).

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

2133020110320 is a wasteful number, since it uses less digits than its factorization.

2133020110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448752 (or 448743 counting only the distinct ones).

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

Adding to 2133020110320 its reverse (230110203312), we get a palindrome (2363130313632).

The spelling of 2133020110320 in words is "two trillion, one hundred thirty-three billion, twenty million, one hundred ten thousand, three hundred twenty".