13123033333133 has 2 divisors, whose sum is σ = 13123033333134. Its totient is φ = 13123033333132.

The previous prime is 13123033333121. The next prime is 13123033333169. The reversal of 13123033333133 is 33133333032131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13111257176809 + 11776156324 = 3620947^2 + 108518^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123033333133 - 2¹² = 13123033329037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13123033333133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123033333633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561516666566 + 6561516666567.

It is an arithmetic number, because the mean of its divisors is an integer number (6561516666567).

Almost surely, 2^{13123033333133} is an apocalyptic number.

It is an amenable number.

13123033333133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123033333133 is an equidigital number, since it uses as much as digits as its factorization.

13123033333133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39366, while the sum is 32.

Adding to 13123033333133 its reverse (33133333032131), we get a palindrome (46256366365264).

The spelling of 13123033333133 in words is "thirteen trillion, one hundred twenty-three billion, thirty-three million, three hundred thirty-three thousand, one hundred thirty-three".