13135305 has 16 divisors (see below), whose sum is σ = 22253184. Its totient is φ = 6593280.

The previous prime is 13135303. The next prime is 13135307. The reversal of 13135305 is 50353131.

13135305 = 871² + 872² + ... + 887².

It is a happy number.

13135305 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13135303) and next prime (13135307).

It is not a de Polignac number, because 13135305 - 2¹ = 13135303 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13135301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25501 + ... + 26010.

It is an arithmetic number, because the mean of its divisors is an integer number (1390824).

Almost surely, 2^13135305 is an apocalyptic number.

13135305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13135305 is a deficient number, since it is larger than the sum of its proper divisors (9117879).

13135305 is a wasteful number, since it uses less digits than its factorization.

13135305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51536.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 13135305 is about 3624.2661326122. The cubic root of 13135305 is about 235.9464172616.

Adding to 13135305 its reverse (50353131), we get a palindrome (63488436).

The spelling of 13135305 in words is "thirteen million, one hundred thirty-five thousand, three hundred five".