Search a number
-
+
13100233121317 is a prime number
BaseRepresentation
bin1011111010100010001010…
…1111011101111000100101
31201101100222202210122212001
42332220202233131320211
53204113234134340232
643510055232125301
72521313663153026
oct276504257357045
951340882718761
1013100233121317
1141a0861090341
121576ab5696831
1374046787aa64
143340aa00ac4d
1517ab790be6e7
hexbea22bdde25

13100233121317 has 2 divisors, whose sum is σ = 13100233121318. Its totient is φ = 13100233121316.

The previous prime is 13100233121279. The next prime is 13100233121359. The reversal of 13100233121317 is 71312133200131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9499704101281 + 3600529020036 = 3082159^2 + 1897506^2 .

It is an emirp because it is prime and its reverse (71312133200131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13100233121317 is a prime.

It is a super-2 number, since 2×131002331213172 (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 (13100233121377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550116560658 + 6550116560659.

It is an arithmetic number, because the mean of its divisors is an integer number (6550116560659).

Almost surely, 213100233121317 is an apocalyptic number.

It is an amenable number.

13100233121317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13100233121317 is an equidigital number, since it uses as much as digits as its factorization.

13100233121317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 13100233121317 its reverse (71312133200131), we get a palindrome (84412366321448).

The spelling of 13100233121317 in words is "thirteen trillion, one hundred billion, two hundred thirty-three million, one hundred twenty-one thousand, three hundred seventeen".