13005301 has 2 divisors, whose sum is σ = 13005302. Its totient is φ = 13005300.

The previous prime is 13005277. The next prime is 13005319. The reversal of 13005301 is 10350031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12780625 + 224676 = 3575^2 + 474^2 .

It is a cyclic number.

It is not a de Polignac number, because 13005301 - 2⁵ = 13005269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13005331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502650 + 6502651.

It is an arithmetic number, because the mean of its divisors is an integer number (6502651).

Almost surely, 2^13005301 is an apocalyptic number.

It is an amenable number.

13005301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005301 is an equidigital number, since it uses as much as digits as its factorization.

13005301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 13005301 is about 3606.2863169748. The cubic root of 13005301 is about 235.1654244935.

Adding to 13005301 its reverse (10350031), we get a palindrome (23355332).

The spelling of 13005301 in words is "thirteen million, five thousand, three hundred one".