Search a number
-
+
13112310031397 is a prime number
BaseRepresentation
bin1011111011001111001010…
…0101001110010000100101
31201102112011102122020222222
42332303302211032100211
53204313002332001042
643515413450202125
72522222160203303
oct276636245162045
951375142566888
1013112310031397
1141a59991a2665
121579306123345
137416409303b5
143348d3d29273
1517b1344832d2
hexbecf294e425

13112310031397 has 2 divisors, whose sum is σ = 13112310031398. Its totient is φ = 13112310031396.

The previous prime is 13112310031283. The next prime is 13112310031421. The reversal of 13112310031397 is 79313001321131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8816469316516 + 4295840714881 = 2969254^2 + 2072641^2 .

It is a cyclic number.

It is not a de Polignac number, because 13112310031397 - 212 = 13112310027301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13112310931397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556155015698 + 6556155015699.

It is an arithmetic number, because the mean of its divisors is an integer number (6556155015699).

Almost surely, 213112310031397 is an apocalyptic number.

It is an amenable number.

13112310031397 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112310031397 is an equidigital number, since it uses as much as digits as its factorization.

13112310031397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 35.

The spelling of 13112310031397 in words is "thirteen trillion, one hundred twelve billion, three hundred ten million, thirty-one thousand, three hundred ninety-seven".