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13101301010201 is a prime number
BaseRepresentation
bin1011111010100110001001…
…1001001000111100011001
31201101110202012020001000012
42332221202121020330121
53204122431024311301
643510353220451305
72521352311105505
oct276514231107431
951343665201005
1013101301010201
1141a1259963038
121577153249b35
137405a7b97881
1433416bb8b305
1517abdcc10ebb
hexbea62648f19

13101301010201 has 2 divisors, whose sum is σ = 13101301010202. Its totient is φ = 13101301010200.

The previous prime is 13101301010191. The next prime is 13101301010233. The reversal of 13101301010201 is 10201010310131.

It is a happy number.

13101301010201 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., 13099506216976 + 1794793225 = 3619324^2 + 42365^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101301010201 - 26 = 13101301010137 is a prime.

It is a super-3 number, since 3×131013010102013 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13101301010401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550650505100 + 6550650505101.

It is an arithmetic number, because the mean of its divisors is an integer number (6550650505101).

Almost surely, 213101301010201 is an apocalyptic number.

It is an amenable number.

13101301010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101301010201 is an equidigital number, since it uses as much as digits as its factorization.

13101301010201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 13101301010201 its reverse (10201010310131), we get a palindrome (23302311320332).

The spelling of 13101301010201 in words is "thirteen trillion, one hundred one billion, three hundred one million, ten thousand, two hundred one".