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131320414217 is a prime number
BaseRepresentation
bin111101001001101001…
…1101000000000001001
3110112221221112020102002
41322103103220000021
54122421011223332
6140154444120345
712326146050326
oct1722323500011
9415857466362
10131320414217
1150768a4a953
122154ab360b5
13c4ca609615
1464da9c1b4d
153638c37562
hex1e934e8009

131320414217 has 2 divisors, whose sum is σ = 131320414218. Its totient is φ = 131320414216.

The previous prime is 131320414187. The next prime is 131320414241. The reversal of 131320414217 is 712414023131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97325904841 + 33994509376 = 311971^2 + 184376^2 .

It is a cyclic number.

It is not a de Polignac number, because 131320414217 - 222 = 131316219913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131320414217.

It is not a weakly prime, because it can be changed into another prime (131320414517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65660207108 + 65660207109.

It is an arithmetic number, because the mean of its divisors is an integer number (65660207109).

Almost surely, 2131320414217 is an apocalyptic number.

It is an amenable number.

131320414217 is a deficient number, since it is larger than the sum of its proper divisors (1).

131320414217 is an equidigital number, since it uses as much as digits as its factorization.

131320414217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 131320414217 its reverse (712414023131), we get a palindrome (843734437348).

The spelling of 131320414217 in words is "one hundred thirty-one billion, three hundred twenty million, four hundred fourteen thousand, two hundred seventeen".