331233103332 has 480 divisors, whose sum is σ = 1000279082880. Its totient is φ = 94909501440.

The previous prime is 331233103307. The next prime is 331233103337. The reversal of 331233103332 is 233301332133.

331233103332 is a `hidden beast` number, since 3 + 3 + 12 + 3 + 310 + 3 + 332 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 331233103296 and 331233103305.

It is not an unprimeable number, because it can be changed into a prime (331233103337) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 507247918 + ... + 507248570.

It is an arithmetic number, because the mean of its divisors is an integer number (2083914756).

Almost surely, 2^331233103332 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 331233103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500139541440).

331233103332 is an abundant number, since it is smaller than the sum of its proper divisors (669045979548).

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

331233103332 is a wasteful number, since it uses less digits than its factorization.

331233103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 331233103332 its reverse (233301332133), we get a palindrome (564534435465).

The spelling of 331233103332 in words is "three hundred thirty-one billion, two hundred thirty-three million, one hundred three thousand, three hundred thirty-two".