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12311321022001 is a prime number
BaseRepresentation
bin1011001100100111001111…
…1010101000111000110001
31121120221200010111122011201
42303021303322220320301
53103202041140201001
642103424240011201
72410315004024041
oct263116372507061
947527603448151
1012311321022001
113a17224841531
12146a024600b01
136b3c4cac4281
14307c2a4b7721
151653a4431501
hexb3273ea8e31

12311321022001 has 2 divisors, whose sum is σ = 12311321022002. Its totient is φ = 12311321022000.

The previous prime is 12311321021999. The next prime is 12311321022041. The reversal of 12311321022001 is 10022012311321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8582556160000 + 3728764862001 = 2929600^2 + 1931001^2 .

It is a cyclic number.

It is not a de Polignac number, because 12311321022001 - 21 = 12311321021999 is a prime.

Together with 12311321021999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 12311321022001.

It is not a weakly prime, because it can be changed into another prime (12311321022041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6155660511000 + 6155660511001.

It is an arithmetic number, because the mean of its divisors is an integer number (6155660511001).

Almost surely, 212311321022001 is an apocalyptic number.

It is an amenable number.

12311321022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12311321022001 is an equidigital number, since it uses as much as digits as its factorization.

12311321022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12311321022001 its reverse (10022012311321), we get a palindrome (22333333333322).

The spelling of 12311321022001 in words is "twelve trillion, three hundred eleven billion, three hundred twenty-one million, twenty-two thousand, one".