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13414105213 is a prime number
BaseRepresentation
bin11000111111000101…
…10000000001111101
31021121212000011000121
430133202300001331
5204433002331323
610055022454541
7653262004315
oct143742600175
937555004017
1013414105213
115763a04873
122724434451
13135a111582
14913762445
1553799ea5d
hex31f8b007d

13414105213 has 2 divisors, whose sum is σ = 13414105214. Its totient is φ = 13414105212.

The previous prime is 13414105207. The next prime is 13414105219. The reversal of 13414105213 is 31250141431.

13414105213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13414105207) and next prime (13414105219).

It can be written as a sum of positive squares in only one way, i.e., 13257680164 + 156425049 = 115142^2 + 12507^2 .

It is a cyclic number.

It is not a de Polignac number, because 13414105213 - 229 = 12877234301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13414105219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6707052606 + 6707052607.

It is an arithmetic number, because the mean of its divisors is an integer number (6707052607).

Almost surely, 213414105213 is an apocalyptic number.

It is an amenable number.

13414105213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13414105213 is an equidigital number, since it uses as much as digits as its factorization.

13414105213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 13414105213 its reverse (31250141431), we get a palindrome (44664246644).

The spelling of 13414105213 in words is "thirteen billion, four hundred fourteen million, one hundred five thousand, two hundred thirteen".