331201211020020 has 192 divisors, whose sum is σ = 1124300014387200. Its totient is φ = 80275261461120.

The previous prime is 331201211019967. The next prime is 331201211020021. The reversal of 331201211020020 is 20020112102133.

331201211020020 is a `hidden beast` number, since 3 + 31 + 201 + 211 + 0 + 200 + 20 = 666.

It is a super-2 number, since 2×331201211020020² (a number of 30 digits) contains 22 as substring.

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 = 331201211019975 and 331201211020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331201211020021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 24399037 + ... + 35464283.

It is an arithmetic number, because the mean of its divisors is an integer number (5855729241600).

Almost surely, 2^{331201211020020} is an apocalyptic number.

331201211020020 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 331201211020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562150007193600).

331201211020020 is an abundant number, since it is smaller than the sum of its proper divisors (793098803367180).

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

331201211020020 is a wasteful number, since it uses less digits than its factorization.

331201211020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11070315 (or 11070307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 331201211020020 its reverse (20020112102133), we get a palindrome (351221323122153).

The spelling of 331201211020020 in words is "three hundred thirty-one trillion, two hundred one billion, two hundred eleven million, twenty thousand, twenty".