Search a number
-
+
13133130301 is a prime number
BaseRepresentation
bin11000011101100101…
…11010101000111101
31020220021022010220101
430032302322220331
5203344040132201
610011104321101
7643310523424
oct141662725075
936807263811
1013133130301
11562a3451a5
122666313191
131313b45225
148c83022bb
1551ce9cd01
hex30ecbaa3d

13133130301 has 2 divisors, whose sum is σ = 13133130302. Its totient is φ = 13133130300.

The previous prime is 13133130299. The next prime is 13133130317. The reversal of 13133130301 is 10303133131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10537227801 + 2595902500 = 102651^2 + 50950^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133130301 - 21 = 13133130299 is a prime.

It is a super-2 number, since 2×131331303012 (a number of 21 digits) contains 22 as substring.

Together with 13133130299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133130331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566565150 + 6566565151.

It is an arithmetic number, because the mean of its divisors is an integer number (6566565151).

Almost surely, 213133130301 is an apocalyptic number.

It is an amenable number.

13133130301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133130301 is an equidigital number, since it uses as much as digits as its factorization.

13133130301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13133130301 its reverse (10303133131), we get a palindrome (23436263432).

The spelling of 13133130301 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty thousand, three hundred one".