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13331043344413 is a prime number
BaseRepresentation
bin1100000111111110000000…
…0110100110000000011101
31202012102202022221211212101
43001333200012212000131
53221403434044010123
644204110300205101
72544064452531244
oct301774006460035
952172668854771
1013331043344413
11427a733479133
1215b378b539791
1375915c084172
14341323da395b
15181b87363aad
hexc1fe01a601d

13331043344413 has 2 divisors, whose sum is σ = 13331043344414. Its totient is φ = 13331043344412.

The previous prime is 13331043344407. The next prime is 13331043344429. The reversal of 13331043344413 is 31444334013331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12614018830884 + 717024513529 = 3551622^2 + 846773^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13331043344413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331043344813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665521672206 + 6665521672207.

It is an arithmetic number, because the mean of its divisors is an integer number (6665521672207).

Almost surely, 213331043344413 is an apocalyptic number.

It is an amenable number.

13331043344413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331043344413 is an equidigital number, since it uses as much as digits as its factorization.

13331043344413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 37.

Adding to 13331043344413 its reverse (31444334013331), we get a palindrome (44775377357744).

The spelling of 13331043344413 in words is "thirteen trillion, three hundred thirty-one billion, forty-three million, three hundred forty-four thousand, four hundred thirteen".