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13330013012001 = 327257338222419
BaseRepresentation
bin1100000111111010001010…
…1100001100000000100001
31202012100002112012112111200
43001332202230030000201
53221344331312341001
644203420132431413
72544030102045540
oct301764254140041
952170075175450
1013330013012001
11427a254918144
1215b3542478569
1375902678690a
143412671dc157
15181b26b90086
hexc1fa2b0c021

13330013012001 has 24 divisors (see below), whose sum is σ = 22005958653120. Its totient is φ = 7616853359136.

The previous prime is 13330013011999. The next prime is 13330013012027. The reversal of 13330013012001 is 10021031003331.

It is a happy number.

13330013012001 is a `hidden beast` number, since 1 + 3 + 330 + 0 + 130 + 1 + 200 + 1 = 666.

It is not a de Polignac number, because 13330013012001 - 21 = 13330013011999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13330013012051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2490031 + ... + 5732388.

It is an arithmetic number, because the mean of its divisors is an integer number (916914943880).

Almost surely, 213330013012001 is an apocalyptic number.

It is an amenable number.

13330013012001 is a deficient number, since it is larger than the sum of its proper divisors (8675945641119).

13330013012001 is a wasteful number, since it uses less digits than its factorization.

13330013012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248165 (or 8248162 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13330013012001 its reverse (10021031003331), we get a palindrome (23351044015332).

The spelling of 13330013012001 in words is "thirteen trillion, three hundred thirty billion, thirteen million, twelve thousand, one".

Divisors: 1 3 7 9 21 63 25733 77199 180131 231597 540393 1621179 8222419 24667257 57556933 74001771 172670799 518012397 211587508127 634762524381 1481112556889 1904287573143 4443337670667 13330013012001