123313220137 has 2 divisors, whose sum is σ = 123313220138. Its totient is φ = 123313220136.

The previous prime is 123313220077. The next prime is 123313220153. The reversal of 123313220137 is 731022313321.

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., 78697641961 + 44615578176 = 280531^2 + 211224^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313220137 - 2¹¹ = 123313218089 is a prime.

It is a super-3 number, since 3×123313220137³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (123313224137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656610068 + 61656610069.

It is an arithmetic number, because the mean of its divisors is an integer number (61656610069).

Almost surely, 2^123313220137 is an apocalyptic number.

It is an amenable number.

123313220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313220137 is an equidigital number, since it uses as much as digits as its factorization.

123313220137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 123313220137 its reverse (731022313321), we get a palindrome (854335533458).

The spelling of 123313220137 in words is "one hundred twenty-three billion, three hundred thirteen million, two hundred twenty thousand, one hundred thirty-seven".