13005000181 has 2 divisors, whose sum is σ = 13005000182. Its totient is φ = 13005000180.

The previous prime is 13005000121. The next prime is 13005000209. The reversal of 13005000181 is 18100050031.

13005000181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12990300625 + 14699556 = 113975^2 + 3834^2 .

It is a cyclic number.

It is not a de Polignac number, because 13005000181 - 2¹⁷ = 13004869109 is a prime.

It is a super-2 number, since 2×13005000181² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13005000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502500090 + 6502500091.

It is an arithmetic number, because the mean of its divisors is an integer number (6502500091).

Almost surely, 2^13005000181 is an apocalyptic number.

It is an amenable number.

13005000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005000181 is an equidigital number, since it uses as much as digits as its factorization.

13005000181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 19.

The spelling of 13005000181 in words is "thirteen billion, five million, one hundred eighty-one", and thus it is an aban number.