123120013 has 2 divisors, whose sum is σ = 123120014. Its totient is φ = 123120012.

The previous prime is 123119963. The next prime is 123120017. The reversal of 123120013 is 310021321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92505924 + 30614089 = 9618^2 + 5533^2 .

It is an emirp because it is prime and its reverse (310021321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123120013 - 2¹⁷ = 122988941 is a prime.

It is a super-2 number, since 2×123120013² = 30317075202240338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123119975 and 123120002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123120017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560006 + 61560007.

It is an arithmetic number, because the mean of its divisors is an integer number (61560007).

Almost surely, 2^123120013 is an apocalyptic number.

It is an amenable number.

123120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123120013 is an equidigital number, since it uses as much as digits as its factorization.

123120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 123120013 is about 11095.9457911437. The cubic root of 123120013 is about 497.4806780203.

Adding to 123120013 its reverse (310021321), we get a palindrome (433141334).

The spelling of 123120013 in words is "one hundred twenty-three million, one hundred twenty thousand, thirteen".