Search a number
-
+
131403311244137 is a prime number
BaseRepresentation
bin11101111000001010110111…
…101100000110001101101001
3122020021000220200200201021102
4131320022313230012031221
5114210402440134303022
61143245503044051145
736451401356364512
oct3570126754061551
9566230820621242
10131403311244137
113896191657a219
12128a2a13093ab5
1358423821aa2ca
142463d5046da09
15102d17d27ca92
hex7782b7b06369

131403311244137 has 2 divisors, whose sum is σ = 131403311244138. Its totient is φ = 131403311244136.

The previous prime is 131403311244061. The next prime is 131403311244143. The reversal of 131403311244137 is 731442113304131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117720850805776 + 13682460438361 = 10849924^2 + 3698981^2 .

It is a cyclic number.

It is not a de Polignac number, because 131403311244137 - 232 = 131399016276841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131403311244137.

It is not a weakly prime, because it can be changed into another prime (131403311214137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65701655622068 + 65701655622069.

It is an arithmetic number, because the mean of its divisors is an integer number (65701655622069).

Almost surely, 2131403311244137 is an apocalyptic number.

It is an amenable number.

131403311244137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131403311244137 is an equidigital number, since it uses as much as digits as its factorization.

131403311244137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

Adding to 131403311244137 its reverse (731442113304131), we get a palindrome (862845424548268).

The spelling of 131403311244137 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred eleven million, two hundred forty-four thousand, one hundred thirty-seven".