331121311303020 has 288 divisors, whose sum is σ = 1063336330560000. Its totient is φ = 75418049507328.

The previous prime is 331121311302973. The next prime is 331121311303093. The reversal of 331121311303020 is 20303113121133.

It is a super-2 number, since 2×331121311303020² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94633125231 + ... + 94633128729.

Almost surely, 2^{331121311303020} is an apocalyptic number.

331121311303020 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 331121311303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531668165280000).

331121311303020 is an abundant number, since it is smaller than the sum of its proper divisors (732215019256980).

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

331121311303020 is a wasteful number, since it uses less digits than its factorization.

331121311303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 331121311303020 its reverse (20303113121133), we get a palindrome (351424424424153).

The spelling of 331121311303020 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, three hundred eleven million, three hundred three thousand, twenty".