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13313323001331 = 323190135294353
BaseRepresentation
bin1100000110111011111111…
…1000110110010111110011
31202010202000101000011000100
43001232333320312113303
53221111141142020311
644152020043523443
72542566361230363
oct301567770662763
952122011004010
1013313323001331
11427316a8360a1
1215b0264b29583
13757596a7b062
143405227729a3
1518149b7eba56
hexc1bbfe365f3

13313323001331 has 24 divisors (see below), whose sum is σ = 19852895693696. Its totient is φ = 8588286040320.

The previous prime is 13313323001311. The next prime is 13313323001357. The reversal of 13313323001331 is 13310032331331.

13313323001331 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 323 + 0 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 13313323001331 - 27 = 13313323001203 is a prime.

It is a super-2 number, since 2×133133230013312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13313323001295 and 13313323001304.

It is not an unprimeable number, because it can be changed into a prime (13313323001311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132550 + ... + 5161803.

Almost surely, 213313323001331 is an apocalyptic number.

13313323001331 is a deficient number, since it is larger than the sum of its proper divisors (6539572692365).

13313323001331 is a wasteful number, since it uses less digits than its factorization.

13313323001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303403 (or 5303400 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13313323001331 its reverse (13310032331331), we get a palindrome (26623355332662).

The spelling of 13313323001331 in words is "thirteen trillion, three hundred thirteen billion, three hundred twenty-three million, one thousand, three hundred thirty-one".

Divisors: 1 3 9 31 93 279 9013 27039 81117 279403 838209 2514627 5294353 15883059 47649177 164124943 492374829 1477124487 47718003589 143154010767 429462032301 1479258111259 4437774333777 13313323001331