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13405243431397 is a prime number
BaseRepresentation
bin1100001100010010011011…
…0001011101100111100101
31202110112021110111210221011
43003010212301131213211
53224112414304301042
644302141145422221
72552332300053406
oct303044661354745
952415243453834
1013405243431397
1142a914a496774
121606038a9a971
13763155707c8c
14344b627359ad
15183a7b56ea17
hexc3126c5d9e5

13405243431397 has 2 divisors, whose sum is σ = 13405243431398. Its totient is φ = 13405243431396.

The previous prime is 13405243431317. The next prime is 13405243431401. The reversal of 13405243431397 is 79313434250431.

13405243431397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11954437635361 + 1450805796036 = 3457519^2 + 1204494^2 .

It is a cyclic number.

It is not a de Polignac number, because 13405243431397 - 219 = 13405242907109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13405243431397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13405243431317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6702621715698 + 6702621715699.

It is an arithmetic number, because the mean of its divisors is an integer number (6702621715699).

Almost surely, 213405243431397 is an apocalyptic number.

It is an amenable number.

13405243431397 is a deficient number, since it is larger than the sum of its proper divisors (1).

13405243431397 is an equidigital number, since it uses as much as digits as its factorization.

13405243431397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 49.

The spelling of 13405243431397 in words is "thirteen trillion, four hundred five billion, two hundred forty-three million, four hundred thirty-one thousand, three hundred ninety-seven".