331121201310120 has 512 divisors, whose sum is σ = 1143565807104000. Its totient is φ = 76120539955200.

The previous prime is 331121201310103. The next prime is 331121201310139. The reversal of 331121201310120 is 21013102121133.

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 127 ways as a sum of consecutive naturals, for example, 155288956 + ... + 157406804.

It is an arithmetic number, because the mean of its divisors is an integer number (2233526967000).

Almost surely, 2^{331121201310120} is an apocalyptic number.

331121201310120 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 331121201310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571782903552000).

331121201310120 is an abundant number, since it is smaller than the sum of its proper divisors (812444605793880).

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

331121201310120 is a wasteful number, since it uses less digits than its factorization.

331121201310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118021 (or 2118017 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 331121201310120 its reverse (21013102121133), we get a palindrome (352134303431253).

The spelling of 331121201310120 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred one million, three hundred ten thousand, one hundred twenty".