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13231436513 is a prime number
BaseRepresentation
bin11000101001010011…
…11011001011100001
31021011010021121200012
430110221323023201
5204044221432023
610024535334305
7645613232441
oct142451731341
937133247605
1013231436513
11567a88a0a9
122693221395
13132b314a99
148d73b2121
1552691a978
hex314a7b2e1

13231436513 has 2 divisors, whose sum is σ = 13231436514. Its totient is φ = 13231436512.

The previous prime is 13231436507. The next prime is 13231436593. The reversal of 13231436513 is 31563413231.

13231436513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13165956049 + 65480464 = 114743^2 + 8092^2 .

It is a cyclic number.

It is not a de Polignac number, because 13231436513 - 222 = 13227242209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13231436513.

It is not a weakly prime, because it can be changed into another prime (13231436503) 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, 6615718256 + 6615718257.

It is an arithmetic number, because the mean of its divisors is an integer number (6615718257).

Almost surely, 213231436513 is an apocalyptic number.

It is an amenable number.

13231436513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13231436513 is an equidigital number, since it uses as much as digits as its factorization.

13231436513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 32.

Adding to 13231436513 its reverse (31563413231), we get a palindrome (44794849744).

The spelling of 13231436513 in words is "thirteen billion, two hundred thirty-one million, four hundred thirty-six thousand, five hundred thirteen".