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13123323302021 is a prime number
BaseRepresentation
bin1011111011111000001100…
…0001100001000010000101
31201110120120222001101002222
42332332003001201002011
53210003031231131041
643524434350542125
72523062120360102
oct276760301410205
951416528041088
1013123323302021
1141aa62a974909
12157b47a507945
137426a752318a
1433525a891aa9
1517b57b29474b
hexbef83061085

13123323302021 has 2 divisors, whose sum is σ = 13123323302022. Its totient is φ = 13123323302020.

The previous prime is 13123323302017. The next prime is 13123323302077. The reversal of 13123323302021 is 12020332332131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12828675177796 + 294648124225 = 3581714^2 + 542815^2 .

It is an emirp because it is prime and its reverse (12020332332131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13123323302021 - 22 = 13123323302017 is a prime.

It is a super-2 number, since 2×131233233020212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123323302081) 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, 6561661651010 + 6561661651011.

It is an arithmetic number, because the mean of its divisors is an integer number (6561661651011).

Almost surely, 213123323302021 is an apocalyptic number.

It is an amenable number.

13123323302021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123323302021 is an equidigital number, since it uses as much as digits as its factorization.

13123323302021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13123323302021 its reverse (12020332332131), we get a palindrome (25143655634152).

The spelling of 13123323302021 in words is "thirteen trillion, one hundred twenty-three billion, three hundred twenty-three million, three hundred two thousand, twenty-one".