331033320320121 has 6 divisors (see below), whose sum is σ = 478159240462410. Its totient is φ = 220688880213408.

The previous prime is 331033320320113. The next prime is 331033320320161. The reversal of 331033320320121 is 121023023330133.

331033320320121 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 3 + 3 + 320 + 320 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 307761620714496 + 23271699605625 = 17543136^2 + 4824075^2 .

It is not a de Polignac number, because 331033320320121 - 2³ = 331033320320113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331033320320111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18390740017776 + ... + 18390740017793.

It is an arithmetic number, because the mean of its divisors is an integer number (79693206743735).

Almost surely, 2^{331033320320121} is an apocalyptic number.

It is an amenable number.

331033320320121 is a deficient number, since it is larger than the sum of its proper divisors (147125920142289).

331033320320121 is a wasteful number, since it uses less digits than its factorization.

331033320320121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36781480035575 (or 36781480035572 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 331033320320121 its reverse (121023023330133), we get a palindrome (452056343650254).

The spelling of 331033320320121 in words is "three hundred thirty-one trillion, thirty-three billion, three hundred twenty million, three hundred twenty thousand, one hundred twenty-one".