331234131040000 has 180 divisors, whose sum is σ = 832147469664280. Its totient is φ = 131540451840000.

The previous prime is 331234131039979. The next prime is 331234131040061. The reversal of 331234131040000 is 40131432133.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14793190 + ... + 29686810.

Almost surely, 2^{331234131040000} 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 331234131040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416073734832140).

331234131040000 is an abundant number, since it is smaller than the sum of its proper divisors (500913338624280).

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

331234131040000 is an equidigital number, since it uses as much as digits as its factorization.

331234131040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14893796 (or 14893767 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 331234131040000 its reverse (40131432133), we get a palindrome (331274262472133).

The spelling of 331234131040000 in words is "three hundred thirty-one trillion, two hundred thirty-four billion, one hundred thirty-one million, forty thousand".