13123111000033 has 2 divisors, whose sum is σ = 13123111000034. Its totient is φ = 13123111000032.

The previous prime is 13123110999967. The next prime is 13123111000073. The reversal of 13123111000033 is 33000011132131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11278232622864 + 1844878377169 = 3358308^2 + 1358263^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123111000033 - 2¹³ = 13123110991841 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123111000073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561555500016 + 6561555500017.

It is an arithmetic number, because the mean of its divisors is an integer number (6561555500017).

Almost surely, 2^{13123111000033} is an apocalyptic number.

It is an amenable number.

13123111000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123111000033 is an equidigital number, since it uses as much as digits as its factorization.

13123111000033 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 13123111000033 its reverse (33000011132131), we get a palindrome (46123122132164).

The spelling of 13123111000033 in words is "thirteen trillion, one hundred twenty-three billion, one hundred eleven million, thirty-three", and thus it is an aban number.