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13302113132313 = 3231313523291253
BaseRepresentation
bin1100000110010010001110…
…1110100101111100011001
31202002200002010122210121100
43001210203232211330121
53220420211430213223
644142523441302013
72542021523014455
oct301444356457431
952080063583540
1013302113132313
114269438094635
1215aa056934909
137564cb522375
1433db7ba71665
15181042604043
hexc1923ba5f19

13302113132313 has 48 divisors (see below), whose sum is σ = 19935455547904. Its totient is φ = 8538203831040.

The previous prime is 13302113132279. The next prime is 13302113132453. The reversal of 13302113132313 is 31323131120331.

13302113132313 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 211 + 3 + 132 + 313 = 666.

13302113132313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13302113132313 - 225 = 13302079577881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13302113131313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45526395 + ... + 45817647.

Almost surely, 213302113132313 is an apocalyptic number.

It is an amenable number.

13302113132313 is a deficient number, since it is larger than the sum of its proper divisors (6633342415591).

13302113132313 is a wasteful number, since it uses less digits than its factorization.

13302113132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292126 (or 292123 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13302113132313 its reverse (31323131120331), we get a palindrome (44625244252644).

The spelling of 13302113132313 in words is "thirteen trillion, three hundred two billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 31 93 279 313 523 939 1569 2817 4707 9703 16213 29109 48639 87327 145917 163699 291253 491097 873759 1473291 2621277 5074669 9028843 15224007 27086529 45672021 81259587 91162189 152325319 273486567 456975957 820459701 1370927871 2826027859 4722084889 8478083577 14166254667 25434250731 42498764001 47677824847 143033474541 429100423623 1478012570257 4434037710771 13302113132313