Search a number
-
+
13020133261 is a prime number
BaseRepresentation
bin11000010000000111…
…10111011110001101
31020121101200022002211
430020003313132031
5203131123231021
65551550350421
7640436210122
oct141003673615
936541608084
1013020133261
115581586913
1226344bb411
1312c6600985
148b72ca749
155130cc3e1
hex3080f778d

13020133261 has 2 divisors, whose sum is σ = 13020133262. Its totient is φ = 13020133260.

The previous prime is 13020133201. The next prime is 13020133297. The reversal of 13020133261 is 16233102031.

13020133261 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., 8613696100 + 4406437161 = 92810^2 + 66381^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13020133261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13020133201) 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, 6510066630 + 6510066631.

It is an arithmetic number, because the mean of its divisors is an integer number (6510066631).

Almost surely, 213020133261 is an apocalyptic number.

It is an amenable number.

13020133261 is a deficient number, since it is larger than the sum of its proper divisors (1).

13020133261 is an equidigital number, since it uses as much as digits as its factorization.

13020133261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13020133261 its reverse (16233102031), we get a palindrome (29253235292).

The spelling of 13020133261 in words is "thirteen billion, twenty million, one hundred thirty-three thousand, two hundred sixty-one".