Search a number
-
+
13312361081 is a prime number
BaseRepresentation
bin11000110010111101…
…01000001001111001
31021100202120000022102
430121132220021321
5204230431023311
610040550033145
7650615126225
oct143136501171
937322500272
1013312361081
115711531a08
1226b63487b5
131342009c46
14904039785
1552daa343b
hex3197a8279

13312361081 has 2 divisors, whose sum is σ = 13312361082. Its totient is φ = 13312361080.

The previous prime is 13312360991. The next prime is 13312361123. The reversal of 13312361081 is 18016321331.

13312361081 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., 12585249856 + 727111225 = 112184^2 + 26965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13312361081 is a prime.

It is a super-2 number, since 2×133123610812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13312361681) 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, 6656180540 + 6656180541.

It is an arithmetic number, because the mean of its divisors is an integer number (6656180541).

Almost surely, 213312361081 is an apocalyptic number.

It is an amenable number.

13312361081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312361081 is an equidigital number, since it uses as much as digits as its factorization.

13312361081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 13312361081 in words is "thirteen billion, three hundred twelve million, three hundred sixty-one thousand, eighty-one".