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13013231333 is a prime number
BaseRepresentation
bin11000001111010011…
…00010011011100101
31020120220200122102212
430013221202123211
5203122341400313
65551142413205
7640323432644
oct140751423345
936526618385
1013013231333
1155786a2343
122632131205
1312c50552ab
148b641135b
155126b73a8
hex307a626e5

13013231333 has 2 divisors, whose sum is σ = 13013231334. Its totient is φ = 13013231332.

The previous prime is 13013231299. The next prime is 13013231353. The reversal of 13013231333 is 33313231031.

13013231333 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., 8995953409 + 4017277924 = 94847^2 + 63382^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013231333 - 26 = 13013231269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13013231299 and 13013231308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013231353) 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, 6506615666 + 6506615667.

It is an arithmetic number, because the mean of its divisors is an integer number (6506615667).

Almost surely, 213013231333 is an apocalyptic number.

It is an amenable number.

13013231333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013231333 is an equidigital number, since it uses as much as digits as its factorization.

13013231333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13013231333 its reverse (33313231031), we get a palindrome (46326462364).

The spelling of 13013231333 in words is "thirteen billion, thirteen million, two hundred thirty-one thousand, three hundred thirty-three".