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13332011020133 = 1347269383211789
BaseRepresentation
bin1100001000000001100111…
…0001111110111101100101
31202012112020202210212101212
43002000121301332331211
53221412424310121013
644204350305001205
72544130442613251
oct302003161767545
952175222725355
1013332011020133
11428008a724233
1215b39bb623205
137592846b4450
143413b66d9261
15181be22ac6a8
hexc2019c7ef65

13332011020133 has 32 divisors (see below), whose sum is σ = 14756036198400. Its totient is φ = 11968468574976.

The previous prime is 13332011020129. The next prime is 13332011020199. The reversal of 13332011020133 is 33102011023331.

13332011020133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13332011020133 - 22 = 13332011020129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13332011020099 and 13332011020108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332011020123) 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, 62843603 + ... + 63055391.

It is an arithmetic number, because the mean of its divisors is an integer number (461126131200).

Almost surely, 213332011020133 is an apocalyptic number.

13332011020133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13332011020133 is a deficient number, since it is larger than the sum of its proper divisors (1424025178267).

13332011020133 is a wasteful number, since it uses less digits than its factorization.

13332011020133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212501.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13332011020133 its reverse (33102011023331), we get a palindrome (46434022043464).

The spelling of 13332011020133 in words is "thirteen trillion, three hundred thirty-two billion, eleven million, twenty thousand, one hundred thirty-three".

Divisors: 1 13 47 269 383 611 3497 4979 12643 18001 103027 164359 211789 234013 1339351 2753257 4842269 9954083 56971241 62949497 81115187 129403079 740626133 1054497431 2677648327 3812413789 21819985303 34809428251 49561379257 283659808939 1025539309241 13332011020133