13149731201 has 2 divisors, whose sum is σ = 13149731202. Its totient is φ = 13149731200.

The previous prime is 13149731167. The next prime is 13149731227. The reversal of 13149731201 is 10213794131.

13149731201 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., 6721540225 + 6428190976 = 81985^2 + 80176^2 .

It is a cyclic number.

It is not a de Polignac number, because 13149731201 - 2¹⁸ = 13149469057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13149731501) 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, 6574865600 + 6574865601.

It is an arithmetic number, because the mean of its divisors is an integer number (6574865601).

Almost surely, 2^13149731201 is an apocalyptic number.

It is an amenable number.

13149731201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13149731201 is an equidigital number, since it uses as much as digits as its factorization.

13149731201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 13149731201 in words is "thirteen billion, one hundred forty-nine million, seven hundred thirty-one thousand, two hundred one".