331020130000 has 200 divisors, whose sum is σ = 940685284352. Its totient is φ = 110424384000.

The previous prime is 331020129977. The next prime is 331020130003. The reversal of 331020130000 is 31020133.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331020130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2526097 + ... + 2653903.

Almost surely, 2^331020130000 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 331020130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470342642176).

331020130000 is an abundant number, since it is smaller than the sum of its proper divisors (609665154352).

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

331020130000 is a wasteful number, since it uses less digits than its factorization.

331020130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127879 (or 127858 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 331020130000 its reverse (31020133), we get a palindrome (331051150133).

The spelling of 331020130000 in words is "three hundred thirty-one billion, twenty million, one hundred thirty thousand".