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13133132053 is a prime number
BaseRepresentation
bin11000011101100101…
…11011000100010101
31020220021022020022021
430032302323010111
5203344040211203
610011104333141
7643310531506
oct141662730425
936807266267
1013133132053
11562a346548
1226663141b1
131313b45c72
148c8302bad
1551ce9d5bd
hex30ecbb115

13133132053 has 2 divisors, whose sum is σ = 13133132054. Its totient is φ = 13133132052.

The previous prime is 13133132011. The next prime is 13133132057. The reversal of 13133132053 is 35023133131.

13133132053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11113798084 + 2019333969 = 105422^2 + 44937^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13133132053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133132057) 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, 6566566026 + 6566566027.

It is an arithmetic number, because the mean of its divisors is an integer number (6566566027).

Almost surely, 213133132053 is an apocalyptic number.

It is an amenable number.

13133132053 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133132053 is an equidigital number, since it uses as much as digits as its factorization.

13133132053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 25.

Adding to 13133132053 its reverse (35023133131), we get a palindrome (48156265184).

The spelling of 13133132053 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty-two thousand, fifty-three".