133305353141201 has 2 divisors, whose sum is σ = 133305353141202. Its totient is φ = 133305353141200.

The previous prime is 133305353141171. The next prime is 133305353141231. The reversal of 133305353141201 is 102141353503331.

It is a balanced prime because it is at equal distance from previous prime (133305353141171) and next prime (133305353141231).

It can be written as a sum of positive squares in only one way, i.e., 121999182264976 + 11306170876225 = 11045324^2 + 3362465^2 .

It is an emirp because it is prime and its reverse (102141353503331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133305353141201 - 2⁴² = 128907306630097 is a prime.

It is a super-2 number, since 2×133305353141201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133305353141231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66652676570600 + 66652676570601.

It is an arithmetic number, because the mean of its divisors is an integer number (66652676570601).

Almost surely, 2^{133305353141201} is an apocalyptic number.

It is an amenable number.

133305353141201 is a deficient number, since it is larger than the sum of its proper divisors (1).

133305353141201 is an equidigital number, since it uses as much as digits as its factorization.

133305353141201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 133305353141201 in words is "one hundred thirty-three trillion, three hundred five billion, three hundred fifty-three million, one hundred forty-one thousand, two hundred one".