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12323131313 is a prime number
BaseRepresentation
bin10110111101000010…
…00000111110110001
31011210211010221011212
423132201000332301
5200214210200223
65354451245505
7614243613353
oct133641007661
934724127155
1012323131313
1152540a4a49
12247aba9895
1312150a109c
1484c8d30d3
154c1ced278
hex2de840fb1

12323131313 has 2 divisors, whose sum is σ = 12323131314. Its totient is φ = 12323131312.

The previous prime is 12323131201. The next prime is 12323131333. The reversal of 12323131313 is 31313132321.

12323131313 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., 10988909584 + 1334221729 = 104828^2 + 36527^2 .

It is an emirp because it is prime and its reverse (31313132321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12323131313 - 220 = 12322082737 is a prime.

It is a super-2 number, since 2×123231313132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12323131333) 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, 6161565656 + 6161565657.

It is an arithmetic number, because the mean of its divisors is an integer number (6161565657).

Almost surely, 212323131313 is an apocalyptic number.

It is an amenable number.

12323131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12323131313 is an equidigital number, since it uses as much as digits as its factorization.

12323131313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 23.

Adding to 12323131313 its reverse (31313132321), we get a palindrome (43636263634).

The spelling of 12323131313 in words is "twelve billion, three hundred twenty-three million, one hundred thirty-one thousand, three hundred thirteen".