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13133032153 is a prime number
BaseRepresentation
bin11000011101100101…
…00010101011011001
31020220021010011021021
430032302202223121
5203344024012103
610011102242441
7643306634323
oct141662425331
936807104237
1013133032153
11562a28848a
122666286421
131313b0c657
148c82b8613
1551ce7dbbd
hex30eca2ad9

13133032153 has 2 divisors, whose sum is σ = 13133032154. Its totient is φ = 13133032152.

The previous prime is 13133032111. The next prime is 13133032193. The reversal of 13133032153 is 35123033131.

13133032153 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., 13102694089 + 30338064 = 114467^2 + 5508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13133032153 is a prime.

It is not a weakly prime, because it can be changed into another prime (13133032103) 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, 6566516076 + 6566516077.

It is an arithmetic number, because the mean of its divisors is an integer number (6566516077).

Almost surely, 213133032153 is an apocalyptic number.

It is an amenable number.

13133032153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133032153 is an equidigital number, since it uses as much as digits as its factorization.

13133032153 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 13133032153 its reverse (35123033131), we get a palindrome (48256065284).

The spelling of 13133032153 in words is "thirteen billion, one hundred thirty-three million, thirty-two thousand, one hundred fifty-three".