2313231333120 has 1440 divisors, whose sum is σ = 9135159264000. Its totient is φ = 556491866112.

The previous prime is 2313231333037. The next prime is 2313231333121. The reversal of 2313231333120 is 213331323132.

2313231333120 is a `hidden beast` number, since 2 + 3 + 1 + 32 + 313 + 3 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313231333121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5151962656 + ... + 5151963104.

It is an arithmetic number, because the mean of its divisors is an integer number (6343860600).

Almost surely, 2^{2313231333120} is an apocalyptic number.

2313231333120 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 2313231333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567579632000).

2313231333120 is an abundant number, since it is smaller than the sum of its proper divisors (6821927930880).

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

2313231333120 is a wasteful number, since it uses less digits than its factorization.

2313231333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 592 counting only the distinct ones).

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

Adding to 2313231333120 its reverse (213331323132), we get a palindrome (2526562656252).

The spelling of 2313231333120 in words is "two trillion, three hundred thirteen billion, two hundred thirty-one million, three hundred thirty-three thousand, one hundred twenty".