Search a number
-
+
13131017 is a prime number
BaseRepresentation
bin110010000101…
…110100001001
3220201010100222
4302011310021
511330143032
61145235425
7216416564
oct62056411
926633328
1013131017
117459589
124492b75
132949a43
141a5b4db
151245a12
hexc85d09

13131017 has 2 divisors, whose sum is σ = 13131018. Its totient is φ = 13131016.

The previous prime is 13130989. The next prime is 13131023. The reversal of 13131017 is 71013131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13097161 + 33856 = 3619^2 + 184^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131017 - 212 = 13126921 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130986 and 13131004.

It is not a weakly prime, because it can be changed into another prime (13131037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565508 + 6565509.

It is an arithmetic number, because the mean of its divisors is an integer number (6565509).

Almost surely, 213131017 is an apocalyptic number.

It is an amenable number.

13131017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131017 is an equidigital number, since it uses as much as digits as its factorization.

13131017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 13131017 is about 3623.6745162887. The cubic root of 13131017 is about 235.9207396863.

Adding to 13131017 its reverse (71013131), we get a palindrome (84144148).

The spelling of 13131017 in words is "thirteen million, one hundred thirty-one thousand, seventeen".