331311232002000 has 160 divisors (see below), whose sum is σ = 1114588604263680. Its totient is φ = 84508372185600.

The previous prime is 331311232001957. The next prime is 331311232002019. The reversal of 331311232002000 is 200232113133.

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 31 ways as a sum of consecutive naturals, for example, 1200265015 + ... + 1200541014.

It is an arithmetic number, because the mean of its divisors is an integer number (6966178776648).

Almost surely, 2^{331311232002000} is an apocalyptic number.

331311232002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331311232002000 is an abundant number, since it is smaller than the sum of its proper divisors (783277372261680).

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

331311232002000 is a wasteful number, since it uses less digits than its factorization.

331311232002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400806078 (or 2400806062 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 331311232002000 its reverse (200232113133), we get a palindrome (331511464115133).

The spelling of 331311232002000 in words is "three hundred thirty-one trillion, three hundred eleven billion, two hundred thirty-two million, two thousand".