331121330221331 has 32 divisors (see below), whose sum is σ = 365960327745600. Its totient is φ = 297709566994944.

The previous prime is 331121330221321. The next prime is 331121330221361. The reversal of 331121330221331 is 133122033121133.

It is a de Polignac number, because none of the positive numbers 2^k-331121330221331 is a prime.

It is a super-2 number, since 2×331121330221331² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331121330221294 and 331121330221303.

It is not an unprimeable number, because it can be changed into a prime (331121330221321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 78644720 + ... + 82748018.

It is an arithmetic number, because the mean of its divisors is an integer number (11436260242050).

Almost surely, 2^{331121330221331} is an apocalyptic number.

331121330221331 is a deficient number, since it is larger than the sum of its proper divisors (34838997524269).

331121330221331 is a wasteful number, since it uses less digits than its factorization.

331121330221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104215.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 331121330221331 its reverse (133122033121133), we get a palindrome (464243363342464).

The spelling of 331121330221331 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, three hundred thirty million, two hundred twenty-one thousand, three hundred thirty-one".