Search a number
-
+
13113203821 is a prime number
BaseRepresentation
bin11000011011001101…
…11001110001101101
31020211212210202220121
430031212321301231
5203323440010241
610005113244541
7642646251634
oct141546716155
936755722817
1013113203821
11561a075133
12265b703751
13130c989403
148c57d651b
1551b363ad1
hex30d9b9c6d

13113203821 has 2 divisors, whose sum is σ = 13113203822. Its totient is φ = 13113203820.

The previous prime is 13113203819. The next prime is 13113203891. The reversal of 13113203821 is 12830231131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12546240100 + 566963721 = 112010^2 + 23811^2 .

It is a cyclic number.

It is not a de Polignac number, because 13113203821 - 21 = 13113203819 is a prime.

It is a super-2 number, since 2×131132038212 (a number of 21 digits) contains 22 as substring.

Together with 13113203819, 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 (13113203891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556601910 + 6556601911.

It is an arithmetic number, because the mean of its divisors is an integer number (6556601911).

Almost surely, 213113203821 is an apocalyptic number.

It is an amenable number.

13113203821 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113203821 is an equidigital number, since it uses as much as digits as its factorization.

13113203821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 13113203821 its reverse (12830231131), we get a palindrome (25943434952).

The spelling of 13113203821 in words is "thirteen billion, one hundred thirteen million, two hundred three thousand, eight hundred twenty-one".