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13123011133 is a prime number
BaseRepresentation
bin11000011100011000…
…10100001000111101
31020212120021001000101
430032030110020331
5203333442324013
610010103401101
7643125516451
oct141614241075
936776231011
1013123011133
115624663551
122662a53191
131311a1135b
148c6c2a661
1551c14e8dd
hex30e31423d

13123011133 has 2 divisors, whose sum is σ = 13123011134. Its totient is φ = 13123011132.

The previous prime is 13123011119. The next prime is 13123011151. The reversal of 13123011133 is 33111032131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8129186244 + 4993824889 = 90162^2 + 70667^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123011133 - 25 = 13123011101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13123011133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123011113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561505566 + 6561505567.

It is an arithmetic number, because the mean of its divisors is an integer number (6561505567).

Almost surely, 213123011133 is an apocalyptic number.

It is an amenable number.

13123011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123011133 is an equidigital number, since it uses as much as digits as its factorization.

13123011133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13123011133 its reverse (33111032131), we get a palindrome (46234043264).

The spelling of 13123011133 in words is "thirteen billion, one hundred twenty-three million, eleven thousand, one hundred thirty-three".