13005201 has 16 divisors (see below), whose sum is σ = 19078848. Its totient is φ = 7879520.

The previous prime is 13005199. The next prime is 13005203. The reversal of 13005201 is 10250031.

It is an interprime number because it is at equal distance from previous prime (13005199) and next prime (13005203).

It is not a de Polignac number, because 13005201 - 2¹ = 13005199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13005203) 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 15 ways as a sum of consecutive naturals, for example, 2365 + ... + 5621.

It is an arithmetic number, because the mean of its divisors is an integer number (1192428).

Almost surely, 2^13005201 is an apocalyptic number.

13005201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13005201 is a deficient number, since it is larger than the sum of its proper divisors (6073647).

13005201 is an equidigital number, since it uses as much as digits as its factorization.

13005201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13005201 is about 3606.2724522698. The cubic root of 13005201 is about 235.1648217495.

Adding to 13005201 its reverse (10250031), we get a palindrome (23255232).

The spelling of 13005201 in words is "thirteen million, five thousand, two hundred one".