331123321332 has 192 divisors, whose sum is σ = 909505766400. Its totient is φ = 103890314880.

The previous prime is 331123321307. The next prime is 331123321343. The reversal of 331123321332 is 233123321133.

331123321332 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 2 + 3 + 321 + 332 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 331123321296 and 331123321305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253345423 + ... + 253346729.

It is an arithmetic number, because the mean of its divisors is an integer number (4737009200).

Almost surely, 2^331123321332 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 331123321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454752883200).

331123321332 is an abundant number, since it is smaller than the sum of its proper divisors (578382445068).

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

331123321332 is a wasteful number, since it uses less digits than its factorization.

331123321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2035 counting only the distinct ones).

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

Adding to 331123321332 its reverse (233123321133), we get a palindrome (564246642465).

The spelling of 331123321332 in words is "three hundred thirty-one billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred thirty-two".