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13313213132201 is a prime number
BaseRepresentation
bin1100000110111011100101…
…0101101110110110101001
31202010201201201021012220022
43001232321111232312221
53221110430030212301
644152001121010225
72542563555322253
oct301567125566651
952121651235808
1013313213132201
114273113813864
1215b0234183975
1375757a090438
14340511d32cd3
15181491d47d1b
hexc1bb956eda9

13313213132201 has 2 divisors, whose sum is σ = 13313213132202. Its totient is φ = 13313213132200.

The previous prime is 13313213132173. The next prime is 13313213132239. The reversal of 13313213132201 is 10223131231331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12946316413801 + 366896718400 = 3598099^2 + 605720^2 .

It is an emirp because it is prime and its reverse (10223131231331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13313213132201 - 218 = 13313212870057 is a prime.

It is a super-2 number, since 2×133132131322012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13313213138201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656606566100 + 6656606566101.

It is an arithmetic number, because the mean of its divisors is an integer number (6656606566101).

Almost surely, 213313213132201 is an apocalyptic number.

It is an amenable number.

13313213132201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313213132201 is an equidigital number, since it uses as much as digits as its factorization.

13313213132201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13313213132201 its reverse (10223131231331), we get a palindrome (23536344363532).

The spelling of 13313213132201 in words is "thirteen trillion, three hundred thirteen billion, two hundred thirteen million, one hundred thirty-two thousand, two hundred one".