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13201313101 is a prime number
BaseRepresentation
bin11000100101101110…
…00000110101001101
31021002000121012010021
430102313000311031
5204014014004401
610021541542141
7645066211204
oct142267006515
937060535107
1013201313101
115664884a19
122685114951
131324cc8892
148d33b023b
15523e6a2a1
hex312dc0d4d

13201313101 has 2 divisors, whose sum is σ = 13201313102. Its totient is φ = 13201313100.

The previous prime is 13201313029. The next prime is 13201313117. The reversal of 13201313101 is 10131310231.

It is an a-pointer prime, because the next prime (13201313117) can be obtained adding 13201313101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10525734025 + 2675579076 = 102595^2 + 51726^2 .

It is a cyclic number.

It is not a de Polignac number, because 13201313101 - 29 = 13201312589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13201313131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600656550 + 6600656551.

It is an arithmetic number, because the mean of its divisors is an integer number (6600656551).

Almost surely, 213201313101 is an apocalyptic number.

It is an amenable number.

13201313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201313101 is an equidigital number, since it uses as much as digits as its factorization.

13201313101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13201313101 its reverse (10131310231), we get a palindrome (23332623332).

The spelling of 13201313101 in words is "thirteen billion, two hundred one million, three hundred thirteen thousand, one hundred one".