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12001231311301 is a prime number
BaseRepresentation
bin1010111010100100000100…
…1000010001000111000101
31120111022021110000012100201
42232221001020101013011
53033112010203430201
641305142313210501
72346026462000251
oct256510110210705
946438243005321
1012001231311301
11390776a227251
121419b04100a31
13690932827b5b
142d6c1133d261
1515c2a6093801
hexaea412111c5

12001231311301 has 2 divisors, whose sum is σ = 12001231311302. Its totient is φ = 12001231311300.

The previous prime is 12001231311299. The next prime is 12001231311341. The reversal of 12001231311301 is 10311313210021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11993761166401 + 7470144900 = 3463201^2 + 86430^2 .

It is an emirp because it is prime and its reverse (10311313210021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12001231311301 - 21 = 12001231311299 is a prime.

Together with 12001231311299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001231311341) 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, 6000615655650 + 6000615655651.

It is an arithmetic number, because the mean of its divisors is an integer number (6000615655651).

Almost surely, 212001231311301 is an apocalyptic number.

It is an amenable number.

12001231311301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001231311301 is an equidigital number, since it uses as much as digits as its factorization.

12001231311301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12001231311301 its reverse (10311313210021), we get a palindrome (22312544521322).

The spelling of 12001231311301 in words is "twelve trillion, one billion, two hundred thirty-one million, three hundred eleven thousand, three hundred one".