133200013330513 has 2 divisors, whose sum is σ = 133200013330514. Its totient is φ = 133200013330512.

The previous prime is 133200013330507. The next prime is 133200013330567. The reversal of 133200013330513 is 315033310002331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110375048438209 + 22824964892304 = 10505953^2 + 4777548^2 .

It is an emirp because it is prime and its reverse (315033310002331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133200013330513 - 2⁹ = 133200013330001 is a prime.

It is not a weakly prime, because it can be changed into another prime (133200013330613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66600006665256 + 66600006665257.

It is an arithmetic number, because the mean of its divisors is an integer number (66600006665257).

Almost surely, 2^{133200013330513} is an apocalyptic number.

It is an amenable number.

133200013330513 is a deficient number, since it is larger than the sum of its proper divisors (1).

133200013330513 is an equidigital number, since it uses as much as digits as its factorization.

133200013330513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 28.

Adding to 133200013330513 its reverse (315033310002331), we get a palindrome (448233323332844).

The spelling of 133200013330513 in words is "one hundred thirty-three trillion, two hundred billion, thirteen million, three hundred thirty thousand, five hundred thirteen".