331213304314000 has 80 divisors (see below), whose sum is σ = 800877736120176. Its totient is φ = 132484665600000.

The previous prime is 331213304313989. The next prime is 331213304314019. The reversal of 331213304314000 is 413403312133.

It can be written as a sum of positive squares in 8 ways, for example, as 76472296584336 + 254741007729664 = 8744844^2 + 15960608^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 331213304314000.

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 15 ways as a sum of consecutive naturals, for example, 718771672 + ... + 719232328.

Almost surely, 2^{331213304314000} is an apocalyptic number.

It is an amenable number.

331213304314000 is an abundant number, since it is smaller than the sum of its proper divisors (469664431806176).

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

331213304314000 is a wasteful number, since it uses less digits than its factorization.

331213304314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820181 (or 820165 counting only the distinct ones).

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

Adding to 331213304314000 its reverse (413403312133), we get a palindrome (331626707626133).

The spelling of 331213304314000 in words is "three hundred thirty-one trillion, two hundred thirteen billion, three hundred four million, three hundred fourteen thousand".