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13332112101321 = 3131753881373207
BaseRepresentation
bin1100001000000001111111…
…0011100100111111001001
31202012112111211000022201120
43002000133303210333021
53221413131144220241
644204404315305453
72544133111030506
oct302003763447711
952175454008646
1013332112101321
114280131794002
1215b3a2944b289
1375929c6160c0
143413c5ccc4ad
15181beb0c7666
hexc201fce4fc9

13332112101321 has 32 divisors (see below), whose sum is σ = 20270067003648. Its totient is φ = 7721602283520.

The previous prime is 13332112101317. The next prime is 13332112101353. The reversal of 13332112101321 is 12310121123331.

13332112101321 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 13332112101321 - 22 = 13332112101317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13332112101291 and 13332112101300.

It is not an unprimeable number, because it can be changed into a prime (13332112101361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35536500 + ... + 35909706.

It is an arithmetic number, because the mean of its divisors is an integer number (633439593864).

Almost surely, 213332112101321 is an apocalyptic number.

It is an amenable number.

13332112101321 is a deficient number, since it is larger than the sum of its proper divisors (6937954902327).

13332112101321 is a wasteful number, since it uses less digits than its factorization.

13332112101321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427121.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13332112101321 its reverse (12310121123331), we get a palindrome (25642233224652).

The spelling of 13332112101321 in words is "thirteen trillion, three hundred thirty-two billion, one hundred twelve million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 3 13 17 39 51 221 663 53881 161643 373207 700453 915977 1119621 2101359 2747931 4851691 6344519 11907701 14555073 19033557 35723103 82478747 247436241 20108766367 60326299101 261413962771 341849028239 784241888313 1025547084717 4444037367107 13332112101321