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12313200001 is a prime number
BaseRepresentation
bin10110111011110110…
…01000010110000001
31011210010110100222111
423131323020112001
5200204134400001
65353454335321
7614063321164
oct133573102601
934703410874
1012313200001
115249531453
1224777ba541
13121300487b
1484b469adb
154c0eda851
hex2ddec8581

12313200001 has 2 divisors, whose sum is σ = 12313200002. Its totient is φ = 12313200000.

The previous prime is 12313199999. The next prime is 12313200017. The reversal of 12313200001 is 10000231321.

12313200001 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., 7560476401 + 4752723600 = 86951^2 + 68940^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313200001 - 21 = 12313199999 is a prime.

It is a super-2 number, since 2×123132000012 (a number of 21 digits) contains 22 as substring.

Together with 12313199999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12313200071) 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, 6156600000 + 6156600001.

It is an arithmetic number, because the mean of its divisors is an integer number (6156600001).

Almost surely, 212313200001 is an apocalyptic number.

It is an amenable number.

12313200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313200001 is an equidigital number, since it uses as much as digits as its factorization.

12313200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12313200001 its reverse (10000231321), we get a palindrome (22313431322).

The spelling of 12313200001 in words is "twelve billion, three hundred thirteen million, two hundred thousand, one".