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13138201 is a prime number
BaseRepresentation
bin110010000111…
…100100011001
3220201111020001
4302013210121
511330410301
61145333001
7216446536
oct62074431
926644201
1013138201
117463a1a
124497161
1329500ab
141a5dd8d
151247c01
hexc87919

13138201 has 2 divisors, whose sum is σ = 13138202. Its totient is φ = 13138200.

The previous prime is 13138199. The next prime is 13138211. The reversal of 13138201 is 10283131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9603801 + 3534400 = 3099^2 + 1880^2 .

It is a cyclic number.

It is not a de Polignac number, because 13138201 - 21 = 13138199 is a prime.

It is a super-2 number, since 2×131382012 = 345224651032802, which contains 22 as substring.

Together with 13138199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13138211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6569100 + 6569101.

It is an arithmetic number, because the mean of its divisors is an integer number (6569101).

Almost surely, 213138201 is an apocalyptic number.

It is an amenable number.

13138201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13138201 is an equidigital number, since it uses as much as digits as its factorization.

13138201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13138201 is about 3624.6656397522. The cubic root of 13138201 is about 235.9637560447.

The spelling of 13138201 in words is "thirteen million, one hundred thirty-eight thousand, two hundred one".