13353137 has 12 divisors (see below), whose sum is σ = 16070580. Its totient is φ = 11049696.

The previous prime is 13353127. The next prime is 13353139. The reversal of 13353137 is 73135331.

13353137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2436721 + 10916416 = 1561^2 + 3304^2 .

It is not a de Polignac number, because 13353137 - 2⁴ = 13353121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13353139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3278 + ... + 6119.

It is an arithmetic number, because the mean of its divisors is an integer number (1339215).

Almost surely, 2^13353137 is an apocalyptic number.

It is an amenable number.

13353137 is a deficient number, since it is larger than the sum of its proper divisors (2717443).

13353137 is an equidigital number, since it uses as much as digits as its factorization.

13353137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9433 counting only the distinct ones).

The product of its digits is 2835, while the sum is 26.

The square root of 13353137 is about 3654.1944392711. The cubic root of 13353137 is about 237.2435614395.

Adding to 13353137 its reverse (73135331), we get a palindrome (86488468).

The spelling of 13353137 in words is "thirteen million, three hundred fifty-three thousand, one hundred thirty-seven".