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13113012413 is a prime number
BaseRepresentation
bin11000011011001100…
…01011000010111101
31020211212110001100102
430031212023002331
5203323412344123
610005105210445
7642644523614
oct141546130275
936755401312
1013113012413
115619a54346
12265b630a25
13130c920257
148c578687b
1551b327028
hex30d98b0bd

13113012413 has 2 divisors, whose sum is σ = 13113012414. Its totient is φ = 13113012412.

The previous prime is 13113012391. The next prime is 13113012433. The reversal of 13113012413 is 31421031131.

13113012413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13113012433) can be obtained adding 13113012413 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7497308569 + 5615703844 = 86587^2 + 74938^2 .

It is a cyclic number.

It is not a de Polignac number, because 13113012413 - 230 = 12039270589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13113012433) 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, 6556506206 + 6556506207.

It is an arithmetic number, because the mean of its divisors is an integer number (6556506207).

Almost surely, 213113012413 is an apocalyptic number.

It is an amenable number.

13113012413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113012413 is an equidigital number, since it uses as much as digits as its factorization.

13113012413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13113012413 its reverse (31421031131), we get a palindrome (44534043544).

The spelling of 13113012413 in words is "thirteen billion, one hundred thirteen million, twelve thousand, four hundred thirteen".