13123113133033 has 2 divisors, whose sum is σ = 13123113133034. Its totient is φ = 13123113133032.

The previous prime is 13123113133027. The next prime is 13123113133049. The reversal of 13123113133033 is 33033131132131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12270672714304 + 852440418729 = 3502952^2 + 923277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13123113133033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13123113132992 and 13123113133010.

It is not a weakly prime, because it can be changed into another prime (13123113133003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561556566516 + 6561556566517.

It is an arithmetic number, because the mean of its divisors is an integer number (6561556566517).

Almost surely, 2^{13123113133033} is an apocalyptic number.

It is an amenable number.

13123113133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123113133033 is an equidigital number, since it uses as much as digits as its factorization.

13123113133033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 13123113133033 its reverse (33033131132131), we get a palindrome (46156244265164).

The spelling of 13123113133033 in words is "thirteen trillion, one hundred twenty-three billion, one hundred thirteen million, one hundred thirty-three thousand, thirty-three".