133514526362101 has 2 divisors, whose sum is σ = 133514526362102. Its totient is φ = 133514526362100.

The previous prime is 133514526362083. The next prime is 133514526362177. The reversal of 133514526362101 is 101263625415331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119504469876100 + 14010056486001 = 10931810^2 + 3743001^2 .

It is an emirp because it is prime and its reverse (101263625415331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133514526362101 - 2⁷ = 133514526361973 is a prime.

It is a super-2 number, since 2×133514526362101² (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 (133514526362201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66757263181050 + 66757263181051.

It is an arithmetic number, because the mean of its divisors is an integer number (66757263181051).

Almost surely, 2^{133514526362101} is an apocalyptic number.

It is an amenable number.

133514526362101 is a deficient number, since it is larger than the sum of its proper divisors (1).

133514526362101 is an equidigital number, since it uses as much as digits as its factorization.

133514526362101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 133514526362101 in words is "one hundred thirty-three trillion, five hundred fourteen billion, five hundred twenty-six million, three hundred sixty-two thousand, one hundred one".