3231313233120 has 288 divisors, whose sum is σ = 12623113863360. Its totient is φ = 737355571200.

The previous prime is 3231313233073. The next prime is 3231313233139. The reversal of 3231313233120 is 213323131323.

3231313233120 is a `hidden beast` number, since 3 + 2 + 31 + 313 + 2 + 3 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5791386 + ... + 6324774.

It is an arithmetic number, because the mean of its divisors is an integer number (43830256470).

Almost surely, 2^{3231313233120} is an apocalyptic number.

3231313233120 is a gapful number since it is divisible by the number (30) 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 3231313233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311556931680).

3231313233120 is an abundant number, since it is smaller than the sum of its proper divisors (9391800630240).

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

3231313233120 is a wasteful number, since it uses less digits than its factorization.

3231313233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534018 (or 534007 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3231313233120 its reverse (213323131323), we get a palindrome (3444636364443).

The spelling of 3231313233120 in words is "three trillion, two hundred thirty-one billion, three hundred thirteen million, two hundred thirty-three thousand, one hundred twenty".