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13121310053 is a prime number
BaseRepresentation
bin11000011100001011…
…10100110101100101
31020212110001121120102
430032011310311211
5203333023410203
610010003113445
7643105203155
oct141605646545
936773047512
1013121310053
1156237014a5
122662372885
131311566cb7
148c6906765
1551be15888
hex30e174d65

13121310053 has 2 divisors, whose sum is σ = 13121310054. Its totient is φ = 13121310052.

The previous prime is 13121310049. The next prime is 13121310143. The reversal of 13121310053 is 35001312131.

13121310053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13079810689 + 41499364 = 114367^2 + 6442^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121310053 - 22 = 13121310049 is a prime.

It is a super-3 number, since 3×131213100533 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121310353) 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, 6560655026 + 6560655027.

It is an arithmetic number, because the mean of its divisors is an integer number (6560655027).

Almost surely, 213121310053 is an apocalyptic number.

It is an amenable number.

13121310053 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121310053 is an equidigital number, since it uses as much as digits as its factorization.

13121310053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 13121310053 its reverse (35001312131), we get a palindrome (48122622184).

The spelling of 13121310053 in words is "thirteen billion, one hundred twenty-one million, three hundred ten thousand, fifty-three".