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13104413144413 is a prime number
BaseRepresentation
bin1011111010110001101111…
…1000111111010101011101
31201101202210002020211120021
42332230123320333111131
53204200314231110123
643512030112352141
72521522400602213
oct276543370772535
951352702224507
1013104413144413
1141a2606652588
121577881545651
137409828809c6
14334385222cb3
1517ad21054c5d
hexbeb1be3f55d

13104413144413 has 2 divisors, whose sum is σ = 13104413144414. Its totient is φ = 13104413144412.

The previous prime is 13104413144387. The next prime is 13104413144461. The reversal of 13104413144413 is 31444131440131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12564097000569 + 540316143844 = 3544587^2 + 735062^2 .

It is an emirp because it is prime and its reverse (31444131440131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13104413144413 - 29 = 13104413143901 is a prime.

It is a super-2 number, since 2×131044131444132 (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 (13104413144813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552206572206 + 6552206572207.

It is an arithmetic number, because the mean of its divisors is an integer number (6552206572207).

Almost surely, 213104413144413 is an apocalyptic number.

It is an amenable number.

13104413144413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13104413144413 is an equidigital number, since it uses as much as digits as its factorization.

13104413144413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 13104413144413 its reverse (31444131440131), we get a palindrome (44548544584544).

The spelling of 13104413144413 in words is "thirteen trillion, one hundred four billion, four hundred thirteen million, one hundred forty-four thousand, four hundred thirteen".