331013301000984 has 192 divisors, whose sum is σ = 1045510102728000. Its totient is φ = 94572005359104.

The previous prime is 331013301000979. The next prime is 331013301001001. The reversal of 331013301000984 is 489000103310133.

331013301000984 is a `hidden beast` number, since 3 + 310 + 1 + 330 + 1 + 0 + 0 + 0 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778032382 + ... + 778457714.

It is an arithmetic number, because the mean of its divisors is an integer number (5445365118375).

Almost surely, 2^{331013301000984} 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 331013301000984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522755051364000).

331013301000984 is an abundant number, since it is smaller than the sum of its proper divisors (714496801727016).

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

331013301000984 is a wasteful number, since it uses less digits than its factorization.

331013301000984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456879 (or 456858 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 331013301000984 in words is "three hundred thirty-one trillion, thirteen billion, three hundred one million, nine hundred eighty-four", and thus it is an aban number.