123123331212137 has 2 divisors, whose sum is σ = 123123331212138. Its totient is φ = 123123331212136.

The previous prime is 123123331212113. The next prime is 123123331212253. The reversal of 123123331212137 is 731212133321321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123002938867561 + 120392344576 = 11090669^2 + 346976^2 .

It is a cyclic number.

It is not a de Polignac number, because 123123331212137 - 2⁶ = 123123331212073 is a prime.

It is a super-2 number, since 2×123123331212137² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123123331212097 and 123123331212106.

It is not a weakly prime, because it can be changed into another prime (123123331214137) 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, 61561665606068 + 61561665606069.

It is an arithmetic number, because the mean of its divisors is an integer number (61561665606069).

Almost surely, 2^{123123331212137} is an apocalyptic number.

It is an amenable number.

123123331212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

123123331212137 is an equidigital number, since it uses as much as digits as its factorization.

123123331212137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 35.

Adding to 123123331212137 its reverse (731212133321321), we get a palindrome (854335464533458).

The spelling of 123123331212137 in words is "one hundred twenty-three trillion, one hundred twenty-three billion, three hundred thirty-one million, two hundred twelve thousand, one hundred thirty-seven".