331113200000000 has 396 divisors, whose sum is σ = 902606596458936. Its totient is φ = 120403200000000.

The previous prime is 331113199999943. The next prime is 331113200000017. The reversal of 331113200000000 is 2311133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4399962374 + ... + 4400037626.

Almost surely, 2^{331113200000000} 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 331113200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451303298229468).

331113200000000 is an abundant number, since it is smaller than the sum of its proper divisors (571493396458936).

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

331113200000000 is an frugal number, since it uses more digits than its factorization.

331113200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75324 (or 75271 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 331113200000000 its reverse (2311133), we get a palindrome (331113202311133).

The spelling of 331113200000000 in words is "three hundred thirty-one trillion, one hundred thirteen billion, two hundred million", and thus it is an aban number.