111313122202133 has 2 divisors, whose sum is σ = 111313122202134. Its totient is φ = 111313122202132.

The previous prime is 111313122202129. The next prime is 111313122202151. The reversal of 111313122202133 is 331202221313111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58046143915204 + 53266978286929 = 7618802^2 + 7298423^2 .

It is a cyclic number.

It is not a de Polignac number, because 111313122202133 - 2² = 111313122202129 is a prime.

It is a super-2 number, since 2×111313122202133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111313122232133) 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 as a sum of consecutive naturals, namely, 55656561101066 + 55656561101067.

It is an arithmetic number, because the mean of its divisors is an integer number (55656561101067).

Almost surely, 2^{111313122202133} is an apocalyptic number.

It is an amenable number.

111313122202133 is a deficient number, since it is larger than the sum of its proper divisors (1).

111313122202133 is an equidigital number, since it uses as much as digits as its factorization.

111313122202133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 111313122202133 its reverse (331202221313111), we get a palindrome (442515343515244).

The spelling of 111313122202133 in words is "one hundred eleven trillion, three hundred thirteen billion, one hundred twenty-two million, two hundred two thousand, one hundred thirty-three".