13001533 has 2 divisors, whose sum is σ = 13001534. Its totient is φ = 13001532.

The previous prime is 13001531. The next prime is 13001539. The reversal of 13001533 is 33510031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9998244 + 3003289 = 3162^2 + 1733^2 .

It is an emirp because it is prime and its reverse (33510031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13001533 - 2¹ = 13001531 is a prime.

It is a super-3 number, since 3×13001533³ (a number of 22 digits) contains 333 as substring.

Together with 13001531, 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 (13001531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500766 + 6500767.

It is an arithmetic number, because the mean of its divisors is an integer number (6500767).

Almost surely, 2^13001533 is an apocalyptic number.

It is an amenable number.

13001533 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001533 is an equidigital number, since it uses as much as digits as its factorization.

13001533 is an odious number, because the sum of its binary digits is odd.

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

The square root of 13001533 is about 3605.7638580473. The cubic root of 13001533 is about 235.1427109628.

Adding to 13001533 its reverse (33510031), we get a palindrome (46511564).

The spelling of 13001533 in words is "thirteen million, one thousand, five hundred thirty-three".