Search a number
-
+
131403004323313 is a prime number
BaseRepresentation
bin11101111000001010100101…
…011001010010010111110001
3122020021000010022011112001111
4131320022211121102113301
5114210401323101321223
61143245412401433321
736451360641531562
oct3570124531222761
9566230108145044
10131403004323313
11389617792a9048
12128a294833b841
135842333728358
142463d217b8169
15102d16135330d
hex7782a56525f1

131403004323313 has 2 divisors, whose sum is σ = 131403004323314. Its totient is φ = 131403004323312.

The previous prime is 131403004323289. The next prime is 131403004323343. The reversal of 131403004323313 is 313323400304131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112765539668544 + 18637464654769 = 10619112^2 + 4317113^2 .

It is a cyclic number.

It is not a de Polignac number, because 131403004323313 - 29 = 131403004322801 is a prime.

It is a super-2 number, since 2×1314030043233132 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131403004323343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65701502161656 + 65701502161657.

It is an arithmetic number, because the mean of its divisors is an integer number (65701502161657).

Almost surely, 2131403004323313 is an apocalyptic number.

It is an amenable number.

131403004323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131403004323313 is an equidigital number, since it uses as much as digits as its factorization.

131403004323313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 131403004323313 its reverse (313323400304131), we get a palindrome (444726404627444).

The spelling of 131403004323313 in words is "one hundred thirty-one trillion, four hundred three billion, four million, three hundred twenty-three thousand, three hundred thirteen".