Search a number
-
+
213123131341 is a prime number
BaseRepresentation
bin1100011001111100100…
…0001110011111001101
3202101002220202211101221
43012133020032133031
511442434010200331
6241524000203341
721253250504101
oct3063710163715
9671086684357
10213123131341
11824264a6a9a
123537a609551
1317136073153
14a45ad3d901
1558255e9711
hex319f20e7cd

213123131341 has 2 divisors, whose sum is σ = 213123131342. Its totient is φ = 213123131340.

The previous prime is 213123131339. The next prime is 213123131371. The reversal of 213123131341 is 143131321312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211396728841 + 1726402500 = 459779^2 + 41550^2 .

It is a cyclic number.

It is not a de Polignac number, because 213123131341 - 21 = 213123131339 is a prime.

It is a super-2 number, since 2×2131231313412 (a number of 23 digits) contains 22 as substring.

Together with 213123131339, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213123131371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561565670 + 106561565671.

It is an arithmetic number, because the mean of its divisors is an integer number (106561565671).

Almost surely, 2213123131341 is an apocalyptic number.

It is an amenable number.

213123131341 is a deficient number, since it is larger than the sum of its proper divisors (1).

213123131341 is an equidigital number, since it uses as much as digits as its factorization.

213123131341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

Adding to 213123131341 its reverse (143131321312), we get a palindrome (356254452653).

The spelling of 213123131341 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred forty-one".