331121221121020 has 96 divisors (see below), whose sum is σ = 820074179473920. Its totient is φ = 110987482832640.

The previous prime is 331121221121017. The next prime is 331121221121021. The reversal of 331121221121020 is 20121122121133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 331121221120982 and 331121221121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331121221121021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070326464 + ... + 1070635783.

It is an arithmetic number, because the mean of its divisors is an integer number (8542439369520).

Almost surely, 2^{331121221121020} is an apocalyptic number.

It is an amenable number.

331121221121020 is an abundant number, since it is smaller than the sum of its proper divisors (488952958352900).

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

331121221121020 is a wasteful number, since it uses less digits than its factorization.

331121221121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140962323 (or 2140962321 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 331121221121020 its reverse (20121122121133), we get a palindrome (351242343242153).

The spelling of 331121221121020 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".