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13313312101 is a prime number
BaseRepresentation
bin11000110011000100…
…10000010101100101
31021100211100022212101
430121202100111211
5204231201441401
610041022252101
7650626166665
oct143142202545
937324308771
1013313312101
115712021481
1226b6727031
131342280a8b
149042061a5
1552dbe0101
hex319890565

13313312101 has 2 divisors, whose sum is σ = 13313312102. Its totient is φ = 13313312100.

The previous prime is 13313312099. The next prime is 13313312137. The reversal of 13313312101 is 10121331331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12376340001 + 936972100 = 111249^2 + 30610^2 .

It is a cyclic number.

It is not a de Polignac number, because 13313312101 - 21 = 13313312099 is a prime.

Together with 13313312099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13313312161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656656050 + 6656656051.

It is an arithmetic number, because the mean of its divisors is an integer number (6656656051).

Almost surely, 213313312101 is an apocalyptic number.

It is an amenable number.

13313312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313312101 is an equidigital number, since it uses as much as digits as its factorization.

13313312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13313312101 its reverse (10121331331), we get a palindrome (23434643432).

The spelling of 13313312101 in words is "thirteen billion, three hundred thirteen million, three hundred twelve thousand, one hundred one".