Search a number
-
+
131242266580213 is a prime number
BaseRepresentation
bin11101110101110100111000…
…101011011101010011110101
3122012200122020012202010210001
4131311310320223131103311
5114200233130221031323
61143043510454031301
736433640466336055
oct3565647053352365
9565618205663701
10131242266580213
11388aa595007648
1212877769648531
135830128695b69
14245a233d03565
151028da4c3a3ad
hex775d38add4f5

131242266580213 has 2 divisors, whose sum is σ = 131242266580214. Its totient is φ = 131242266580212.

The previous prime is 131242266580157. The next prime is 131242266580273. The reversal of 131242266580213 is 312085662242131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129367716764049 + 1874549816164 = 11373993^2 + 1369142^2 .

It is an emirp because it is prime and its reverse (312085662242131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131242266580213 - 217 = 131242266449141 is a prime.

It is a super-2 number, since 2×1312422665802132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131242266580273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65621133290106 + 65621133290107.

It is an arithmetic number, because the mean of its divisors is an integer number (65621133290107).

Almost surely, 2131242266580213 is an apocalyptic number.

It is an amenable number.

131242266580213 is a deficient number, since it is larger than the sum of its proper divisors (1).

131242266580213 is an equidigital number, since it uses as much as digits as its factorization.

131242266580213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 131242266580213 in words is "one hundred thirty-one trillion, two hundred forty-two billion, two hundred sixty-six million, five hundred eighty thousand, two hundred thirteen".