Search a number
-
+
130013223333137 is a prime number
BaseRepresentation
bin11101100011111100001111…
…111111100010110100010001
3122001100010212002001012200222
4131203330033333202310101
5114020114040133130022
61140303130015522425
736246100606164224
oct3543741777426421
9561303762035628
10130013223333137
1138476331152121
12126b9525529415
13577126acc0771
1424169604615bb
151006e20413242
hex763f0ffe2d11

130013223333137 has 2 divisors, whose sum is σ = 130013223333138. Its totient is φ = 130013223333136.

The previous prime is 130013223333131. The next prime is 130013223333221. The reversal of 130013223333137 is 731333322310031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123089794133056 + 6923429200081 = 11094584^2 + 2631241^2 .

It is a cyclic number.

It is not a de Polignac number, because 130013223333137 - 26 = 130013223333073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130013223333097 and 130013223333106.

It is not a weakly prime, because it can be changed into another prime (130013223333131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65006611666568 + 65006611666569.

It is an arithmetic number, because the mean of its divisors is an integer number (65006611666569).

Almost surely, 2130013223333137 is an apocalyptic number.

It is an amenable number.

130013223333137 is a deficient number, since it is larger than the sum of its proper divisors (1).

130013223333137 is an equidigital number, since it uses as much as digits as its factorization.

130013223333137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 35.

Adding to 130013223333137 its reverse (731333322310031), we get a palindrome (861346545643168).

The spelling of 130013223333137 in words is "one hundred thirty trillion, thirteen billion, two hundred twenty-three million, three hundred thirty-three thousand, one hundred thirty-seven".