133297200013 has 2 divisors, whose sum is σ = 133297200014. Its totient is φ = 133297200012.

The previous prime is 133297199989. The next prime is 133297200037. The reversal of 133297200013 is 310002792331.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (133297199989) and next prime (133297200037).

It can be written as a sum of positive squares in only one way, i.e., 126307738404 + 6989461609 = 355398^2 + 83603^2 .

It is an emirp because it is prime and its reverse (310002792331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133297200013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133297200913) 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, 66648600006 + 66648600007.

It is an arithmetic number, because the mean of its divisors is an integer number (66648600007).

Almost surely, 2^133297200013 is an apocalyptic number.

It is an amenable number.

133297200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133297200013 is an equidigital number, since it uses as much as digits as its factorization.

133297200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

Adding to 133297200013 its reverse (310002792331), we get a palindrome (443299992344).

The spelling of 133297200013 in words is "one hundred thirty-three billion, two hundred ninety-seven million, two hundred thousand, thirteen".