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13103300101 is a prime number
BaseRepresentation
bin11000011010000010…
…00111111000000101
31020211012011121120011
430031001013320011
5203313421100401
610004121110221
7642466133053
oct141501077005
936735147504
1013103300101
115614520341
122658328371
13130a8cc618
148c43791d3
1551a559451
hex30d047e05

13103300101 has 2 divisors, whose sum is σ = 13103300102. Its totient is φ = 13103300100.

The previous prime is 13103300083. The next prime is 13103300107. The reversal of 13103300101 is 10100330131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12293043876 + 810256225 = 110874^2 + 28465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13103300101 is a prime.

It is a super-2 number, since 2×131033001012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13103300107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551650050 + 6551650051.

It is an arithmetic number, because the mean of its divisors is an integer number (6551650051).

Almost surely, 213103300101 is an apocalyptic number.

It is an amenable number.

13103300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13103300101 is an equidigital number, since it uses as much as digits as its factorization.

13103300101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13103300101 its reverse (10100330131), we get a palindrome (23203630232).

The spelling of 13103300101 in words is "thirteen billion, one hundred three million, three hundred thousand, one hundred one".