Search a number
-
+
13133133011 is a prime number
BaseRepresentation
bin11000011101100101…
…11011010011010011
31020220021022021121202
430032302323103103
5203344040224021
610011104341415
7643310534345
oct141662732323
936807267552
1013133133011
11562a347239
12266631486b
131313b4652b
148c8303295
1551ce9da0b
hex30ecbb4d3

13133133011 has 2 divisors, whose sum is σ = 13133133012. Its totient is φ = 13133133010.

The previous prime is 13133133007. The next prime is 13133133023. The reversal of 13133133011 is 11033133131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13133133011 - 22 = 13133133007 is a prime.

It is a super-2 number, since 2×131331330112 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (13133133001) 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, 6566566505 + 6566566506.

It is an arithmetic number, because the mean of its divisors is an integer number (6566566506).

Almost surely, 213133133011 is an apocalyptic number.

13133133011 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133133011 is an equidigital number, since it uses as much as digits as its factorization.

13133133011 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 20.

Adding to 13133133011 its reverse (11033133131), we get a palindrome (24166266142).

The spelling of 13133133011 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty-three thousand, eleven".