13045784201 has 2 divisors, whose sum is σ = 13045784202. Its totient is φ = 13045784200.

The previous prime is 13045784153. The next prime is 13045784249. The reversal of 13045784201 is 10248754031.

13045784201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13045784153) and next prime (13045784249).

It can be written as a sum of positive squares in only one way, i.e., 12423331600 + 622452601 = 111460^2 + 24949^2 .

It is a cyclic number.

It is not a de Polignac number, because 13045784201 - 2¹⁴ = 13045767817 is a prime.

It is a super-2 number, since 2×13045784201² (a number of 21 digits) contains 22 as substring.

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 (13045724201) 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, 6522892100 + 6522892101.

It is an arithmetic number, because the mean of its divisors is an integer number (6522892101).

Almost surely, 2^13045784201 is an apocalyptic number.

It is an amenable number.

13045784201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13045784201 is an equidigital number, since it uses as much as digits as its factorization.

13045784201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 13045784201 in words is "thirteen billion, forty-five million, seven hundred eighty-four thousand, two hundred one".