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13004203133 is a prime number
BaseRepresentation
bin11000001110001110…
…00110010001111101
31020120021200222002002
430013013012101331
5203113034000013
65550221112045
7640153621445
oct140707062175
936507628062
1013004203133
115573596319
12262b0b8625
1312c3213b6c
148b5141125
155119d2358
hex3071c647d

13004203133 has 2 divisors, whose sum is σ = 13004203134. Its totient is φ = 13004203132.

The previous prime is 13004203127. The next prime is 13004203141. The reversal of 13004203133 is 33130240031.

13004203133 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., 10564139524 + 2440063609 = 102782^2 + 49397^2 .

It is a cyclic number.

It is not a de Polignac number, because 13004203133 - 210 = 13004202109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13004206133) 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, 6502101566 + 6502101567.

It is an arithmetic number, because the mean of its divisors is an integer number (6502101567).

Almost surely, 213004203133 is an apocalyptic number.

It is an amenable number.

13004203133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13004203133 is an equidigital number, since it uses as much as digits as its factorization.

13004203133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13004203133 its reverse (33130240031), we get a palindrome (46134443164).

The spelling of 13004203133 in words is "thirteen billion, four million, two hundred three thousand, one hundred thirty-three".