3311231322101 has 2 divisors, whose sum is σ = 3311231322102. Its totient is φ = 3311231322100.

The previous prime is 3311231322089. The next prime is 3311231322103. The reversal of 3311231322101 is 1012231321133.

3311231322101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3201501447076 + 109729875025 = 1789274^2 + 331255^2 .

It is a cyclic number.

It is not a de Polignac number, because 3311231322101 - 2¹⁸ = 3311231059957 is a prime.

It is a super-2 number, since 2×3311231322101² (a number of 26 digits) contains 22 as substring.

Together with 3311231322103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3311231322103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1655615661050 + 1655615661051.

It is an arithmetic number, because the mean of its divisors is an integer number (1655615661051).

Almost surely, 2^{3311231322101} is an apocalyptic number.

It is an amenable number.

3311231322101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3311231322101 is an equidigital number, since it uses as much as digits as its factorization.

3311231322101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3311231322101 its reverse (1012231321133), we get a palindrome (4323462643234).

The spelling of 3311231322101 in words is "three trillion, three hundred eleven billion, two hundred thirty-one million, three hundred twenty-two thousand, one hundred one".