Search a number
-
+
131314223 is a prime number
BaseRepresentation
bin1111101001110…
…11001000101111
3100011002110020202
413310323020233
5232104023343
621010304115
73153103205
oct764731057
9304073222
10131314223
116813a357
1237b8803b
1321288a31
1413623075
15b7dcdb8
hex7d3b22f

131314223 has 2 divisors, whose sum is σ = 131314224. Its totient is φ = 131314222.

The previous prime is 131314207. The next prime is 131314243. The reversal of 131314223 is 322413131.

It is an a-pointer prime, because the next prime (131314243) can be obtained adding 131314223 to its sum of digits (20).

It is a weak prime.

It is an emirp because it is prime and its reverse (322413131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131314223 - 24 = 131314207 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 131314195 and 131314204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131314243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65657111 + 65657112.

It is an arithmetic number, because the mean of its divisors is an integer number (65657112).

Almost surely, 2131314223 is an apocalyptic number.

131314223 is a deficient number, since it is larger than the sum of its proper divisors (1).

131314223 is an equidigital number, since it uses as much as digits as its factorization.

131314223 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 20.

The square root of 131314223 is about 11459.2418161063. The cubic root of 131314223 is about 508.2810550794.

Adding to 131314223 its reverse (322413131), we get a palindrome (453727354).

The spelling of 131314223 in words is "one hundred thirty-one million, three hundred fourteen thousand, two hundred twenty-three".