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12001230013 is a prime number
BaseRepresentation
bin10110010110101010…
…00011110010111101
31010222101102122121111
423023111003302331
5144034303330023
65302512002021
7603254525533
oct131325036275
933871378544
1012001230013
1150a9421813
1223ab230311
1311934a5646
1481bc5c153
154a391500d
hex2cb543cbd

12001230013 has 2 divisors, whose sum is σ = 12001230014. Its totient is φ = 12001230012.

The previous prime is 12001230011. The next prime is 12001230029. The reversal of 12001230013 is 31003210021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8811013689 + 3190216324 = 93867^2 + 56482^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001230013 - 21 = 12001230011 is a prime.

Together with 12001230011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12001229975 and 12001230002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001230011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000615006 + 6000615007.

It is an arithmetic number, because the mean of its divisors is an integer number (6000615007).

Almost surely, 212001230013 is an apocalyptic number.

It is an amenable number.

12001230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001230013 is an equidigital number, since it uses as much as digits as its factorization.

12001230013 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 12001230013 its reverse (31003210021), we get a palindrome (43004440034).

The spelling of 12001230013 in words is "twelve billion, one million, two hundred thirty thousand, thirteen".