Search a number
-
+
13103131357 is a prime number
BaseRepresentation
bin11000011010000000…
…11110101011011101
31020211011212001002101
430031000132223131
5203313400200412
610004113325101
7642464531101
oct141500365335
936734761071
1013103131357
115614415588
122658266791
13130a870884
148c4333901
1551a524457
hex30d01eadd

13103131357 has 2 divisors, whose sum is σ = 13103131358. Its totient is φ = 13103131356.

The previous prime is 13103131339. The next prime is 13103131369. The reversal of 13103131357 is 75313130131.

13103131357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11420983161 + 1682148196 = 106869^2 + 41014^2 .

It is a cyclic number.

It is not a de Polignac number, because 13103131357 - 27 = 13103131229 is a prime.

It is a super-2 number, since 2×131031313572 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13103131387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551565678 + 6551565679.

It is an arithmetic number, because the mean of its divisors is an integer number (6551565679).

Almost surely, 213103131357 is an apocalyptic number.

It is an amenable number.

13103131357 is a deficient number, since it is larger than the sum of its proper divisors (1).

13103131357 is an equidigital number, since it uses as much as digits as its factorization.

13103131357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 28.

Adding to 13103131357 its reverse (75313130131), we get a palindrome (88416261488).

The spelling of 13103131357 in words is "thirteen billion, one hundred three million, one hundred thirty-one thousand, three hundred fifty-seven".