3313122222101 has 2 divisors, whose sum is σ = 3313122222102. Its totient is φ = 3313122222100.

The previous prime is 3313122222097. The next prime is 3313122222103. The reversal of 3313122222101 is 1012222213133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3169916741476 + 143205480625 = 1780426^2 + 378425^2 .

It is a cyclic number.

It is not a de Polignac number, because 3313122222101 - 2² = 3313122222097 is a prime.

Together with 3313122222103, 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 (3313122222103) 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 as a sum of consecutive naturals, namely, 1656561111050 + 1656561111051.

It is an arithmetic number, because the mean of its divisors is an integer number (1656561111051).

Almost surely, 2^{3313122222101} is an apocalyptic number.

It is an amenable number.

3313122222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3313122222101 is an equidigital number, since it uses as much as digits as its factorization.

3313122222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 3313122222101 its reverse (1012222213133), we get a palindrome (4325344435234).

The spelling of 3313122222101 in words is "three trillion, three hundred thirteen billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred one".