13000133021257 has 2 divisors, whose sum is σ = 13000133021258. Its totient is φ = 13000133021256.

The previous prime is 13000133021221. The next prime is 13000133021327. The reversal of 13000133021257 is 75212033100031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11475671155776 + 1524461865481 = 3387576^2 + 1234691^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000133021257 - 2¹⁵ = 13000132988489 is a prime.

It is not a weakly prime, because it can be changed into another prime (13000133021657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500066510628 + 6500066510629.

It is an arithmetic number, because the mean of its divisors is an integer number (6500066510629).

Almost surely, 2^{13000133021257} is an apocalyptic number.

It is an amenable number.

13000133021257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000133021257 is an equidigital number, since it uses as much as digits as its factorization.

13000133021257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

Adding to 13000133021257 its reverse (75212033100031), we get a palindrome (88212166121288).

The spelling of 13000133021257 in words is "thirteen trillion, one hundred thirty-three million, twenty-one thousand, two hundred fifty-seven".