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13388920757 is a prime number
BaseRepresentation
bin11000111100000101…
…01011011110110101
31021120002121122102222
430132002223132311
5204410030431012
610052323012125
7652534643252
oct143602533665
937502548388
1013388920757
115750773373
122717b0a045
131354b34424
14910288429
15535677972
hex31e0ab7b5

13388920757 has 2 divisors, whose sum is σ = 13388920758. Its totient is φ = 13388920756.

The previous prime is 13388920723. The next prime is 13388920759. The reversal of 13388920757 is 75702988331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13163890756 + 225030001 = 114734^2 + 15001^2 .

It is an emirp because it is prime and its reverse (75702988331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13388920757 - 26 = 13388920693 is a prime.

Together with 13388920759, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13388920699 and 13388920708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13388920759) 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, 6694460378 + 6694460379.

It is an arithmetic number, because the mean of its divisors is an integer number (6694460379).

Almost surely, 213388920757 is an apocalyptic number.

It is an amenable number.

13388920757 is a deficient number, since it is larger than the sum of its proper divisors (1).

13388920757 is an equidigital number, since it uses as much as digits as its factorization.

13388920757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 13388920757 in words is "thirteen billion, three hundred eighty-eight million, nine hundred twenty thousand, seven hundred fifty-seven".