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13566009131 is a prime number
BaseRepresentation
bin11001010001001100…
…01101111100101011
31022000102211200000122
430220212031330223
5210240344243011
610122050353455
7660115114013
oct145046157453
938012750018
1013566009131
1158317274a4
12276728b88b
131382728c4c
149299c4c43
15545ea83db
hex32898df2b

13566009131 has 2 divisors, whose sum is σ = 13566009132. Its totient is φ = 13566009130.

The previous prime is 13566009103. The next prime is 13566009133. The reversal of 13566009131 is 13190066531.

It is a strong prime.

It is an emirp because it is prime and its reverse (13190066531) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13566009131 is a prime.

It is a super-3 number, since 3×135660091313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 13566009133, 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 = 13566009091 and 13566009100.

It is not a weakly prime, because it can be changed into another prime (13566009133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6783004565 + 6783004566.

It is an arithmetic number, because the mean of its divisors is an integer number (6783004566).

Almost surely, 213566009131 is an apocalyptic number.

13566009131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13566009131 is an equidigital number, since it uses as much as digits as its factorization.

13566009131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 35.

The spelling of 13566009131 in words is "thirteen billion, five hundred sixty-six million, nine thousand, one hundred thirty-one".