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13813348753 is a prime number
BaseRepresentation
bin11001101110101011…
…01111100110010001
31022122200020211012101
430313111233212101
5211242204130003
610202404000401
7666210345541
oct146725574621
938580224171
1013813348753
115949303406
122816090101
1313c1a49759
149507ab321
1555ca6411d
hex33756f991

13813348753 has 2 divisors, whose sum is σ = 13813348754. Its totient is φ = 13813348752.

The previous prime is 13813348751. The next prime is 13813348777. The reversal of 13813348753 is 35784331831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12667052304 + 1146296449 = 112548^2 + 33857^2 .

It is an emirp because it is prime and its reverse (35784331831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13813348753 - 21 = 13813348751 is a prime.

Together with 13813348751, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13813348751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6906674376 + 6906674377.

It is an arithmetic number, because the mean of its divisors is an integer number (6906674377).

Almost surely, 213813348753 is an apocalyptic number.

It is an amenable number.

13813348753 is a deficient number, since it is larger than the sum of its proper divisors (1).

13813348753 is an equidigital number, since it uses as much as digits as its factorization.

13813348753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 725760, while the sum is 46.

The spelling of 13813348753 in words is "thirteen billion, eight hundred thirteen million, three hundred forty-eight thousand, seven hundred fifty-three".