133024133540513 has 2 divisors, whose sum is σ = 133024133540514. Its totient is φ = 133024133540512.

The previous prime is 133024133540497. The next prime is 133024133540531. The reversal of 133024133540513 is 315045331420331.

Together with next prime (133024133540531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111893407009024 + 21130726531489 = 10577968^2 + 4596817^2 .

It is a cyclic number.

It is not a de Polignac number, because 133024133540513 - 2⁴ = 133024133540497 is a prime.

It is a super-3 number, since 3×133024133540513³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (133024133548513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66512066770256 + 66512066770257.

It is an arithmetic number, because the mean of its divisors is an integer number (66512066770257).

Almost surely, 2^{133024133540513} is an apocalyptic number.

It is an amenable number.

133024133540513 is a deficient number, since it is larger than the sum of its proper divisors (1).

133024133540513 is an equidigital number, since it uses as much as digits as its factorization.

133024133540513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 38.

Adding to 133024133540513 its reverse (315045331420331), we get a palindrome (448069464960844).

The spelling of 133024133540513 in words is "one hundred thirty-three trillion, twenty-four billion, one hundred thirty-three million, five hundred forty thousand, five hundred thirteen".