Search a number
-
+
1312232131313 is a prime number
BaseRepresentation
bin10011000110000111001…
…000010100101011110001
311122110002201021002212122
4103012013020110223301
5132444422411200223
62442455304404025
7163543223035655
oct23060710245361
94573081232778
101312232131313
11466572912524
1219239ba76615
139698738636c
1447725d50a65
1524202c4a5c8
hex13187214af1

1312232131313 has 2 divisors, whose sum is σ = 1312232131314. Its totient is φ = 1312232131312.

The previous prime is 1312232131289. The next prime is 1312232131387. The reversal of 1312232131313 is 3131312322131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 720712706704 + 591519424609 = 848948^2 + 769103^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312232131313 - 238 = 1037354224369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312232131393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656116065656 + 656116065657.

It is an arithmetic number, because the mean of its divisors is an integer number (656116065657).

Almost surely, 21312232131313 is an apocalyptic number.

It is an amenable number.

1312232131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312232131313 is an equidigital number, since it uses as much as digits as its factorization.

1312232131313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

Adding to 1312232131313 its reverse (3131312322131), we get a palindrome (4443544453444).

The spelling of 1312232131313 in words is "one trillion, three hundred twelve billion, two hundred thirty-two million, one hundred thirty-one thousand, three hundred thirteen".