13381633 has 2 divisors, whose sum is σ = 13381634. Its totient is φ = 13381632.

The previous prime is 13381597. The next prime is 13381639. The reversal of 13381633 is 33618331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7091569 + 6290064 = 2663^2 + 2508^2 .

It is an emirp because it is prime and its reverse (33618331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13381633 is a prime.

It is not a weakly prime, because it can be changed into another prime (13381639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6690816 + 6690817.

It is an arithmetic number, because the mean of its divisors is an integer number (6690817).

It is a Proth number, since it is equal to 3267 ⋅ 2¹² + 1 and 3267 < 2¹².

Almost surely, 2^13381633 is an apocalyptic number.

It is an amenable number.

13381633 is a deficient number, since it is larger than the sum of its proper divisors (1).

13381633 is an equidigital number, since it uses as much as digits as its factorization.

13381633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

The square root of 13381633 is about 3658.0914422688. The cubic root of 13381633 is about 237.4122031898.

Adding to 13381633 its reverse (33618331), we get a palindrome (46999964).

The spelling of 13381633 in words is "thirteen million, three hundred eighty-one thousand, six hundred thirty-three".