331003813045020 has 192 divisors, whose sum is σ = 996576992441856. Its totient is φ = 81794153963520.

The previous prime is 331003813045007. The next prime is 331003813045033. The reversal of 331003813045020 is 20540318300133.

It is an interprime number because it is at equal distance from previous prime (331003813045007) and next prime (331003813045033).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8486640 + ... + 27093000.

It is an arithmetic number, because the mean of its divisors is an integer number (5190505168968).

Almost surely, 2^{331003813045020} is an apocalyptic number.

331003813045020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331003813045020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498288496220928).

331003813045020 is an abundant number, since it is smaller than the sum of its proper divisors (665573179396836).

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

331003813045020 is a wasteful number, since it uses less digits than its factorization.

331003813045020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18606660 (or 18606658 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 331003813045020 in words is "three hundred thirty-one trillion, three billion, eight hundred thirteen million, forty-five thousand, twenty".