331013432134000 has 640 divisors, whose sum is σ = 1071847325952000. Its totient is φ = 97742816640000.

The previous prime is 331013432133953. The next prime is 331013432134037. The reversal of 331013432134000 is 431234310133.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 331013432134000.

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 127 ways as a sum of consecutive naturals, for example, 142219630 + ... + 144528370.

It is an arithmetic number, because the mean of its divisors is an integer number (1674761446800).

Almost surely, 2^{331013432134000} 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 331013432134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535923662976000).

331013432134000 is an abundant number, since it is smaller than the sum of its proper divisors (740833893818000).

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

331013432134000 is a wasteful number, since it uses less digits than its factorization.

331013432134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308815 (or 2308785 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 331013432134000 its reverse (431234310133), we get a palindrome (331444666444133).

The spelling of 331013432134000 in words is "three hundred thirty-one trillion, thirteen billion, four hundred thirty-two million, one hundred thirty-four thousand".