3111001330221 has 12 divisors (see below), whose sum is σ = 4615119090972. Its totient is φ = 2017946808576.

The previous prime is 3111001330211. The next prime is 3111001330237. The reversal of 3111001330221 is 1220331001113.

3111001330221 is a `hidden beast` number, since 3 + 1 + 110 + 0 + 1 + 330 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1697446785321 + 1413554544900 = 1302861^2 + 1188930^2 .

It is not a de Polignac number, because 3111001330221 - 2¹⁴ = 3111001313837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3111001330194 and 3111001330203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111001330201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4671172836 + ... + 4671173501.

It is an arithmetic number, because the mean of its divisors is an integer number (384593257581).

Almost surely, 2^{3111001330221} is an apocalyptic number.

It is an amenable number.

3111001330221 is a deficient number, since it is larger than the sum of its proper divisors (1504117760751).

3111001330221 is a wasteful number, since it uses less digits than its factorization.

3111001330221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342346380 (or 9342346377 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3111001330221 its reverse (1220331001113), we get a palindrome (4331332331334).

The spelling of 3111001330221 in words is "three trillion, one hundred eleven billion, one million, three hundred thirty thousand, two hundred twenty-one".