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13121231323 is a prime number
BaseRepresentation
bin11000011100001011…
…00001100111011011
31020212102220121120111
430032011201213123
5203333013400243
610010001305151
7643104424504
oct141605414733
936772817514
1013121231323
115623658332
1226623351b7
13131153a205
148c68c5bab
1551bdec39d
hex30e1619db

13121231323 has 2 divisors, whose sum is σ = 13121231324. Its totient is φ = 13121231322.

The previous prime is 13121231303. The next prime is 13121231327. The reversal of 13121231323 is 32313212131.

13121231323 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 is an emirp because it is prime and its reverse (32313212131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13121231323 is a prime.

It is a super-2 number, since 2×131212313232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13121231294 and 13121231303.

It is not a weakly prime, because it can be changed into another prime (13121231327) 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, 6560615661 + 6560615662.

It is an arithmetic number, because the mean of its divisors is an integer number (6560615662).

Almost surely, 213121231323 is an apocalyptic number.

13121231323 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121231323 is an equidigital number, since it uses as much as digits as its factorization.

13121231323 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

Adding to 13121231323 its reverse (32313212131), we get a palindrome (45434443454).

The spelling of 13121231323 in words is "thirteen billion, one hundred twenty-one million, two hundred thirty-one thousand, three hundred twenty-three".