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13331044203329 is a prime number
BaseRepresentation
bin1100000111111110000000…
…1001110111101101000001
31202012102202101120111002002
43001333200021313231001
53221403434304001304
644204110330433345
72544064463036336
oct301774011675501
952172671514062
1013331044203329
11427a733a05486
1215b378b892855
1375915c2c50b8
1434132414898d
15181b8748331e
hexc1fe0277b41

13331044203329 has 2 divisors, whose sum is σ = 13331044203330. Its totient is φ = 13331044203328.

The previous prime is 13331044203307. The next prime is 13331044203359. The reversal of 13331044203329 is 92330244013331.

13331044203329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8558392273729 + 4772651929600 = 2925473^2 + 2184640^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331044203329 - 220 = 13331043154753 is a prime.

It is a super-2 number, since 2×133310442033292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13331044203292 and 13331044203301.

It is not a weakly prime, because it can be changed into another prime (13331044203359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665522101664 + 6665522101665.

It is an arithmetic number, because the mean of its divisors is an integer number (6665522101665).

Almost surely, 213331044203329 is an apocalyptic number.

It is an amenable number.

13331044203329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331044203329 is an equidigital number, since it uses as much as digits as its factorization.

13331044203329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 38.

The spelling of 13331044203329 in words is "thirteen trillion, three hundred thirty-one billion, forty-four million, two hundred three thousand, three hundred twenty-nine".