3233131323120 has 400 divisors, whose sum is σ = 11830644397440. Its totient is φ = 816066067968.

The previous prime is 3233131323113. The next prime is 3233131323131. The reversal of 3233131323120 is 213231313323.

3233131323120 is a `hidden beast` number, since 3 + 2 + 3 + 31 + 313 + 2 + 312 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146132379 + ... + 146154501.

Almost surely, 2^{3233131323120} is an apocalyptic number.

3233131323120 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 3233131323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915322198720).

3233131323120 is an abundant number, since it is smaller than the sum of its proper divisors (8597513074320).

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

3233131323120 is a wasteful number, since it uses less digits than its factorization.

3233131323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23354 (or 23339 counting only the distinct ones).

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

Adding to 3233131323120 its reverse (213231313323), we get a palindrome (3446362636443).

The spelling of 3233131323120 in words is "three trillion, two hundred thirty-three billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty".