133313323012361 has 2 divisors, whose sum is σ = 133313323012362. Its totient is φ = 133313323012360.

The previous prime is 133313323012211. The next prime is 133313323012369. The reversal of 133313323012361 is 163210323313331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113160235782400 + 20153087229961 = 10637680^2 + 4489219^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133313323012361 is a prime.

It is not a weakly prime, because it can be changed into another prime (133313323012369) 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, 66656661506180 + 66656661506181.

It is an arithmetic number, because the mean of its divisors is an integer number (66656661506181).

Almost surely, 2^{133313323012361} is an apocalyptic number.

It is an amenable number.

133313323012361 is a deficient number, since it is larger than the sum of its proper divisors (1).

133313323012361 is an equidigital number, since it uses as much as digits as its factorization.

133313323012361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 35.

Adding to 133313323012361 its reverse (163210323313331), we get a palindrome (296523646325692).

The spelling of 133313323012361 in words is "one hundred thirty-three trillion, three hundred thirteen billion, three hundred twenty-three million, twelve thousand, three hundred sixty-one".