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13101133007 is a prime number
BaseRepresentation
bin11000011001110001…
…10110110011001111
31020211001002111212102
430030320312303033
5203312342224012
610004002425315
7642441536024
oct141470666317
936731074772
1013101133007
115613280156
12265766223b
13130a321111
148c3d7354b
1551a27c2c2
hex30ce36ccf

13101133007 has 2 divisors, whose sum is σ = 13101133008. Its totient is φ = 13101133006.

The previous prime is 13101132953. The next prime is 13101133027. The reversal of 13101133007 is 70033110131.

It is an a-pointer prime, because the next prime (13101133027) can be obtained adding 13101133007 to its sum of digits (20).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13101133007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13101133007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13101133027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550566503 + 6550566504.

It is an arithmetic number, because the mean of its divisors is an integer number (6550566504).

Almost surely, 213101133007 is an apocalyptic number.

13101133007 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101133007 is an equidigital number, since it uses as much as digits as its factorization.

13101133007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

Adding to 13101133007 its reverse (70033110131), we get a palindrome (83134243138).

The spelling of 13101133007 in words is "thirteen billion, one hundred one million, one hundred thirty-three thousand, seven".