331002034000020 has 144 divisors (see below), whose sum is σ = 1038674707434000. Its totient is φ = 85222433028096.

The previous prime is 331002034000019. The next prime is 331002034000037. The reversal of 331002034000020 is 20000430200133.

331002034000020 is a `hidden beast` number, since 33 + 10 + 0 + 203 + 400 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 96695519558544 + 234306514441476 = 9833388^2 + 15307074^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331002033999957 and 331002034000002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463121496 + ... + 463835664.

It is an arithmetic number, because the mean of its divisors is an integer number (7213018801625).

Almost surely, 2^{331002034000020} is an apocalyptic number.

331002034000020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331002034000020 is an abundant number, since it is smaller than the sum of its proper divisors (707672673433980).

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

331002034000020 is a wasteful number, since it uses less digits than its factorization.

331002034000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803002 (or 802997 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 331002034000020 its reverse (20000430200133), we get a palindrome (351002464200153).

The spelling of 331002034000020 in words is "three hundred thirty-one trillion, two billion, thirty-four million, twenty", and thus it is an aban number.