2033313221232 has 240 divisors, whose sum is σ = 6396395366400. Its totient is φ = 599958213120.

The previous prime is 2033313221231. The next prime is 2033313221267. The reversal of 2033313221232 is 2321223133302.

2033313221232 is a `hidden beast` number, since 2 + 0 + 3 + 331 + 322 + 1 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2033313221196 and 2033313221205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033313221231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2046333 + ... + 2872995.

It is an arithmetic number, because the mean of its divisors is an integer number (26651647360).

Almost surely, 2^{2033313221232} 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 2033313221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198197683200).

2033313221232 is an abundant number, since it is smaller than the sum of its proper divisors (4363082145168).

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

2033313221232 is a wasteful number, since it uses less digits than its factorization.

2033313221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826756 (or 826747 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2033313221232 its reverse (2321223133302), we get a palindrome (4354536354534).

The spelling of 2033313221232 in words is "two trillion, thirty-three billion, three hundred thirteen million, two hundred twenty-one thousand, two hundred thirty-two".