2331200133120 has 192 divisors, whose sum is σ = 7516756316160. Its totient is φ = 616757428224.

The previous prime is 2331200133113. The next prime is 2331200133179. The reversal of 2331200133120 is 213310021332.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3602679 + ... + 4200201.

It is an arithmetic number, because the mean of its divisors is an integer number (39149772480).

Almost surely, 2^{2331200133120} is an apocalyptic number.

2331200133120 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 2331200133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758378158080).

2331200133120 is an abundant number, since it is smaller than the sum of its proper divisors (5185556183040).

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

2331200133120 is a wasteful number, since it uses less digits than its factorization.

2331200133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597680 (or 597660 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2331200133120 its reverse (213310021332), we get a palindrome (2544510154452).

The spelling of 2331200133120 in words is "two trillion, three hundred thirty-one billion, two hundred million, one hundred thirty-three thousand, one hundred twenty".