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13323142006501 = 611033188366509
BaseRepresentation
bin1100000111100000100100…
…1001011000011011100101
31202011200100200012021220111
43001320021021120123211
53221241243323202001
644200322243133021
72543364610341535
oct301701111303345
952150320167814
1013323142006501
114277349368aa8
1215b2145374171
137584a01068a2
14340bb485d4c5
15181873856851
hexc1e092586e5

13323142006501 has 16 divisors (see below), whose sum is σ = 13673660008320. Its totient is φ = 12976897302720.

The previous prime is 13323142006477. The next prime is 13323142006529. The reversal of 13323142006501 is 10560024132331.

It is a cyclic number.

It is not a de Polignac number, because 13323142006501 - 241 = 11124118750949 is a prime.

It is a super-3 number, since 3×133231420065013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323142006541) 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 in 15 ways as a sum of consecutive naturals, for example, 200287635 + ... + 200354143.

It is an arithmetic number, because the mean of its divisors is an integer number (854603750520).

Almost surely, 213323142006501 is an apocalyptic number.

It is an amenable number.

13323142006501 is a deficient number, since it is larger than the sum of its proper divisors (350518001819).

13323142006501 is a wasteful number, since it uses less digits than its factorization.

13323142006501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98556.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 13323142006501 its reverse (10560024132331), we get a palindrome (23883166138832).

The spelling of 13323142006501 in words is "thirteen trillion, three hundred twenty-three billion, one hundred forty-two million, six thousand, five hundred one".

Divisors: 1 61 103 6283 31883 66509 1944863 3283949 4057049 6850427 200320889 417876047 2120506447 129350893267 218412164041 13323142006501