123121003330133 has 2 divisors, whose sum is σ = 123121003330134. Its totient is φ = 123121003330132.

The previous prime is 123121003330111. The next prime is 123121003330139. The reversal of 123121003330133 is 331033300121321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89241595687729 + 33879407642404 = 9446777^2 + 5820602^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123121003330133 is a prime.

It is a super-2 number, since 2×123121003330133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123121003330139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560501665066 + 61560501665067.

It is an arithmetic number, because the mean of its divisors is an integer number (61560501665067).

Almost surely, 2^{123121003330133} is an apocalyptic number.

It is an amenable number.

123121003330133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121003330133 is an equidigital number, since it uses as much as digits as its factorization.

123121003330133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 123121003330133 its reverse (331033300121321), we get a palindrome (454154303451454).

The spelling of 123121003330133 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, three million, three hundred thirty thousand, one hundred thirty-three".