123133133303333 has 2 divisors, whose sum is σ = 123133133303334. Its totient is φ = 123133133303332.

The previous prime is 123133133303261. The next prime is 123133133303377. The reversal of 123133133303333 is 333303331331321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86850135312964 + 36282997990369 = 9319342^2 + 6023537^2 .

It is a cyclic number.

It is not a de Polignac number, because 123133133303333 - 2¹⁶ = 123133133237797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123133133303293 and 123133133303302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123133133383333) 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, 61566566651666 + 61566566651667.

It is an arithmetic number, because the mean of its divisors is an integer number (61566566651667).

Almost surely, 2^{123133133303333} is an apocalyptic number.

It is an amenable number.

123133133303333 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133133303333 is an equidigital number, since it uses as much as digits as its factorization.

123133133303333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118098, while the sum is 35.

Adding to 123133133303333 its reverse (333303331331321), we get a palindrome (456436464634654).

The spelling of 123133133303333 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred three thousand, three hundred thirty-three".