133033312300117 has 2 divisors, whose sum is σ = 133033312300118. Its totient is φ = 133033312300116.

The previous prime is 133033312300079. The next prime is 133033312300123. The reversal of 133033312300117 is 711003213330331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126487113729201 + 6546198570916 = 11246649^2 + 2558554^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133033312300117 is a prime.

It is a super-2 number, since 2×133033312300117² (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 (133033312300717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66516656150058 + 66516656150059.

It is an arithmetic number, because the mean of its divisors is an integer number (66516656150059).

Almost surely, 2^{133033312300117} is an apocalyptic number.

It is an amenable number.

133033312300117 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033312300117 is an equidigital number, since it uses as much as digits as its factorization.

133033312300117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 31.

Adding to 133033312300117 its reverse (711003213330331), we get a palindrome (844036525630448).

The spelling of 133033312300117 in words is "one hundred thirty-three trillion, thirty-three billion, three hundred twelve million, three hundred thousand, one hundred seventeen".