331333320100000 has 576 divisors, whose sum is σ = 894277532574720. Its totient is φ = 120272947200000.

The previous prime is 331333320099979. The next prime is 331333320100009. The reversal of 331333320100000 is 1023333133.

It is not an unprimeable number, because it can be changed into a prime (331333320100009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39982295857 + ... + 39982304143.

It is an arithmetic number, because the mean of its divisors is an integer number (1552565160720).

Almost surely, 2^{331333320100000} 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 331333320100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447138766287360).

331333320100000 is an abundant number, since it is smaller than the sum of its proper divisors (562944212474720).

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

331333320100000 is an equidigital number, since it uses as much as digits as its factorization.

331333320100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 331333320100000 its reverse (1023333133), we get a palindrome (331334343433133).

The spelling of 331333320100000 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, three hundred twenty million, one hundred thousand".