13005133 has 2 divisors, whose sum is σ = 13005134. Its totient is φ = 13005132.

The previous prime is 13005131. The next prime is 13005173. The reversal of 13005133 is 33150031.

13005133 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12236004 + 769129 = 3498^2 + 877^2 .

It is an emirp because it is prime and its reverse (33150031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13005133 - 2¹ = 13005131 is a prime.

Together with 13005131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13005131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502566 + 6502567.

It is an arithmetic number, because the mean of its divisors is an integer number (6502567).

Almost surely, 2^13005133 is an apocalyptic number.

It is an amenable number.

13005133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005133 is an equidigital number, since it uses as much as digits as its factorization.

13005133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 13005133 is about 3606.2630242399. The cubic root of 13005133 is about 235.1644118818.

Adding to 13005133 its reverse (33150031), we get a palindrome (46155164).

The spelling of 13005133 in words is "thirteen million, five thousand, one hundred thirty-three".