133101042131297 has 2 divisors, whose sum is σ = 133101042131298. Its totient is φ = 133101042131296.

The previous prime is 133101042131293. The next prime is 133101042131357. The reversal of 133101042131297 is 792131240101331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129331390780816 + 3769651350481 = 11372396^2 + 1941559^2 .

It is a cyclic number.

It is not a de Polignac number, because 133101042131297 - 2² = 133101042131293 is a prime.

It is a super-3 number, since 3×133101042131297³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133101042131297.

It is not a weakly prime, because it can be changed into another prime (133101042131293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66550521065648 + 66550521065649.

It is an arithmetic number, because the mean of its divisors is an integer number (66550521065649).

Almost surely, 2^{133101042131297} is an apocalyptic number.

It is an amenable number.

133101042131297 is a deficient number, since it is larger than the sum of its proper divisors (1).

133101042131297 is an equidigital number, since it uses as much as digits as its factorization.

133101042131297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 133101042131297 in words is "one hundred thirty-three trillion, one hundred one billion, forty-two million, one hundred thirty-one thousand, two hundred ninety-seven".