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13057103833 is a prime number
BaseRepresentation
bin11000010100100001…
…11001011111011001
31020200222020121012021
430022100321133121
5203220104310313
65555351014441
7641365360054
oct141220713731
936628217167
1013057103833
1155a0438404
12264496a421
131301176657
148bc191a9b
1551648178d
hex30a4397d9

13057103833 has 2 divisors, whose sum is σ = 13057103834. Its totient is φ = 13057103832.

The previous prime is 13057103819. The next prime is 13057103911. The reversal of 13057103833 is 33830175031.

It is a happy number.

13057103833 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., 9493968969 + 3563134864 = 97437^2 + 59692^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13057103833 is a prime.

It is not a weakly prime, because it can be changed into another prime (13057103803) 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, 6528551916 + 6528551917.

It is an arithmetic number, because the mean of its divisors is an integer number (6528551917).

Almost surely, 213057103833 is an apocalyptic number.

It is an amenable number.

13057103833 is a deficient number, since it is larger than the sum of its proper divisors (1).

13057103833 is an equidigital number, since it uses as much as digits as its factorization.

13057103833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 34.

Adding to 13057103833 its reverse (33830175031), we get a palindrome (46887278864).

The spelling of 13057103833 in words is "thirteen billion, fifty-seven million, one hundred three thousand, eight hundred thirty-three".