331032121000020 has 576 divisors, whose sum is σ = 1108587795194880. Its totient is φ = 79289752780800.

The previous prime is 331032120999917. The next prime is 331032121000067. The reversal of 331032121000020 is 20000121230133.

331032121000020 is a `hidden beast` number, since 3 + 310 + 321 + 2 + 10 + 0 + 0 + 0 + 20 = 666.

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 = 331032120999957 and 331032121000002.

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 191 ways as a sum of consecutive naturals, for example, 160461521509 + ... + 160461523571.

It is an arithmetic number, because the mean of its divisors is an integer number (1924631588880).

Almost surely, 2^{331032121000020} is an apocalyptic number.

331032121000020 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 331032121000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554293897597440).

331032121000020 is an abundant number, since it is smaller than the sum of its proper divisors (777555674194860).

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

331032121000020 is a wasteful number, since it uses less digits than its factorization.

331032121000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331032121000020 its reverse (20000121230133), we get a palindrome (351032242230153).

The spelling of 331032121000020 in words is "three hundred thirty-one trillion, thirty-two billion, one hundred twenty-one million, twenty", and thus it is an aban number.