331121023111121 has 8 divisors (see below), whose sum is σ = 333044661813864. Its totient is φ = 329198420021760.

The previous prime is 331121023111111. The next prime is 331121023111157. The reversal of 331121023111121 is 121111320121133.

It can be written as a sum of positive squares in 4 ways, for example, as 2249508026896 + 328871515084225 = 1499836^2 + 18134815^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331121023111121 - 2¹⁸ = 331121022848977 is a prime.

It is a super-2 number, since 2×331121023111121² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331121023111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258262016 + ... + 259540961.

It is an arithmetic number, because the mean of its divisors is an integer number (41630582726733).

Almost surely, 2^{331121023111121} is an apocalyptic number.

It is an amenable number.

331121023111121 is a deficient number, since it is larger than the sum of its proper divisors (1923638702743).

331121023111121 is a wasteful number, since it uses less digits than its factorization.

331121023111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517806691.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 331121023111121 its reverse (121111320121133), we get a palindrome (452232343232254).

The spelling of 331121023111121 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, twenty-three million, one hundred eleven thousand, one hundred twenty-one".