331121330223120 has 60 divisors (see below), whose sum is σ = 1112015800668396. Its totient is φ = 88299021392640.

The previous prime is 331121330223053. The next prime is 331121330223161. The reversal of 331121330223120 is 21322033121133.

331121330223120 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 213 + 302 + 23 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 172184679511056 + 158936650712064 = 13121916^2 + 12607008^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229945367491 + ... + 229945368930.

Almost surely, 2^{331121330223120} is an apocalyptic number.

331121330223120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331121330223120 is an abundant number, since it is smaller than the sum of its proper divisors (780894470445276).

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

331121330223120 is a wasteful number, since it uses less digits than its factorization.

331121330223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459890736440 (or 459890736431 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331121330223120 its reverse (21322033121133), we get a palindrome (352443363344253).

The spelling of 331121330223120 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, three hundred thirty million, two hundred twenty-three thousand, one hundred twenty".