2331133311312 has 480 divisors, whose sum is σ = 7447145352192. Its totient is φ = 675578880000.

The previous prime is 2331133311293. The next prime is 2331133311401. The reversal of 2331133311312 is 2131133311332.

2331133311312 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 1 + 33 + 311 + 312 = 666.

2331133311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2331133311312² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1287206887 + ... + 1287208697.

Almost surely, 2^{2331133311312} 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 2331133311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723572676096).

2331133311312 is an abundant number, since it is smaller than the sum of its proper divisors (5116012040880).

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

2331133311312 is a wasteful number, since it uses less digits than its factorization.

2331133311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2442 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 2331133311312 its reverse (2131133311332), we get a palindrome (4462266622644).

The spelling of 2331133311312 in words is "two trillion, three hundred thirty-one billion, one hundred thirty-three million, three hundred eleven thousand, three hundred twelve".