123120313133 has 2 divisors, whose sum is σ = 123120313134. Its totient is φ = 123120313132.

The previous prime is 123120313091. The next prime is 123120313193. The reversal of 123120313133 is 331313021321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122390124649 + 730188484 = 349843^2 + 27022^2 .

It is an emirp because it is prime and its reverse (331313021321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123120313133 - 2²⁰ = 123119264557 is a prime.

It is a super-2 number, since 2×123120313133² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123120313099 and 123120313108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123120313193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560156566 + 61560156567.

It is an arithmetic number, because the mean of its divisors is an integer number (61560156567).

Almost surely, 2^123120313133 is an apocalyptic number.

It is an amenable number.

123120313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123120313133 is an equidigital number, since it uses as much as digits as its factorization.

123120313133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 123120313133 its reverse (331313021321), we get a palindrome (454433334454).

The spelling of 123120313133 in words is "one hundred twenty-three billion, one hundred twenty million, three hundred thirteen thousand, one hundred thirty-three".