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13405424330317 is a prime number
BaseRepresentation
bin1100001100010011000110…
…0011100010011001001101
31202110112202001220102121011
43003010301203202121031
53224113302112032232
644302211131005221
72552336624504455
oct303046143423115
952415661812534
1013405424330317
1142a9232612808
121606089599811
13763184035066
14344b7c784d65
15183a8c3a4547
hexc31318e264d

13405424330317 has 2 divisors, whose sum is σ = 13405424330318. Its totient is φ = 13405424330316.

The previous prime is 13405424330203. The next prime is 13405424330329. The reversal of 13405424330317 is 71303342450431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8187758753476 + 5217665576841 = 2861426^2 + 2284221^2 .

It is a cyclic number.

It is not a de Polignac number, because 13405424330317 - 235 = 13371064591949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13405424330317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13405424330017) 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, 6702712165158 + 6702712165159.

It is an arithmetic number, because the mean of its divisors is an integer number (6702712165159).

Almost surely, 213405424330317 is an apocalyptic number.

It is an amenable number.

13405424330317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13405424330317 is an equidigital number, since it uses as much as digits as its factorization.

13405424330317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 40.

Adding to 13405424330317 its reverse (71303342450431), we get a palindrome (84708766780748).

The spelling of 13405424330317 in words is "thirteen trillion, four hundred five billion, four hundred twenty-four million, three hundred thirty thousand, three hundred seventeen".