Search a number
-
+
131323103123257 is a prime number
BaseRepresentation
bin11101110111000000001010…
…111010011001011100111001
3122012222100212211222000002201
4131313000022322121130321
5114203044203344421012
61143145000053430201
736442531626533503
oct3567001272313471
9565870784860081
10131323103123257
11389308a7143911
121288b36963b361
13583793bc06a56
142460101bdad73
15102b03689d857
hex77700ae99739

131323103123257 has 2 divisors, whose sum is σ = 131323103123258. Its totient is φ = 131323103123256.

The previous prime is 131323103123243. The next prime is 131323103123281. The reversal of 131323103123257 is 752321301323131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93285096213241 + 38038006910016 = 9658421^2 + 6167496^2 .

It is a cyclic number.

It is not a de Polignac number, because 131323103123257 - 227 = 131322968905529 is a prime.

It is not a weakly prime, because it can be changed into another prime (131323103123227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65661551561628 + 65661551561629.

It is an arithmetic number, because the mean of its divisors is an integer number (65661551561629).

Almost surely, 2131323103123257 is an apocalyptic number.

It is an amenable number.

131323103123257 is a deficient number, since it is larger than the sum of its proper divisors (1).

131323103123257 is an equidigital number, since it uses as much as digits as its factorization.

131323103123257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 37.

Adding to 131323103123257 its reverse (752321301323131), we get a palindrome (883644404446388).

The spelling of 131323103123257 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, one hundred three million, one hundred twenty-three thousand, two hundred fifty-seven".