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13365307335409 is a prime number
BaseRepresentation
bin1100001001111101101001…
…1001010110001011110001
31202022201012020200221020221
43002133122121112023301
53222434122134213114
644231534252333041
72546416526616601
oct302373231261361
952281166627227
1013365307335409
114293216615767
1215ba352474181
1375c45c96b653
14342c54840c01
151829e04ac524
hexc27da6562f1

13365307335409 has 2 divisors, whose sum is σ = 13365307335410. Its totient is φ = 13365307335408.

The previous prime is 13365307335379. The next prime is 13365307335427. The reversal of 13365307335409 is 90453370356331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13337250080400 + 28057255009 = 3652020^2 + 167503^2 .

It is an emirp because it is prime and its reverse (90453370356331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13365307335409 - 223 = 13365298946801 is a prime.

It is not a weakly prime, because it can be changed into another prime (13365307335469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6682653667704 + 6682653667705.

It is an arithmetic number, because the mean of its divisors is an integer number (6682653667705).

Almost surely, 213365307335409 is an apocalyptic number.

It is an amenable number.

13365307335409 is a deficient number, since it is larger than the sum of its proper divisors (1).

13365307335409 is an equidigital number, since it uses as much as digits as its factorization.

13365307335409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9185400, while the sum is 52.

The spelling of 13365307335409 in words is "thirteen trillion, three hundred sixty-five billion, three hundred seven million, three hundred thirty-five thousand, four hundred nine".