Search a number
-
+
13312200102133 is a prime number
BaseRepresentation
bin1100000110110111110011…
…1101010101000011110101
31202010122010010001221220011
43001231330331111003311
53221101341211232013
644151312412140221
72542526504601652
oct301557475250365
952118103057804
1013312200102133
114272743a00329
1215abbb0a67671
1375744824046a
14340457592c29
15181432e40c3d
hexc1b7cf550f5

13312200102133 has 2 divisors, whose sum is σ = 13312200102134. Its totient is φ = 13312200102132.

The previous prime is 13312200102109. The next prime is 13312200102191. The reversal of 13312200102133 is 33120100221331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13271572862289 + 40627239844 = 3643017^2 + 201562^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13312200102133 is a prime.

It is a super-2 number, since 2×133122001021332 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13312200102833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656100051066 + 6656100051067.

It is an arithmetic number, because the mean of its divisors is an integer number (6656100051067).

Almost surely, 213312200102133 is an apocalyptic number.

It is an amenable number.

13312200102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312200102133 is an equidigital number, since it uses as much as digits as its factorization.

13312200102133 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 13312200102133 its reverse (33120100221331), we get a palindrome (46432300323464).

The spelling of 13312200102133 in words is "thirteen trillion, three hundred twelve billion, two hundred million, one hundred two thousand, one hundred thirty-three".