123122333031053 has 2 divisors, whose sum is σ = 123122333031054. Its totient is φ = 123122333031052.

The previous prime is 123122333031041. The next prime is 123122333031073. The reversal of 123122333031053 is 350130333221321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101856981826084 + 21265351204969 = 10092422^2 + 4611437^2 .

It is a cyclic number.

It is not a de Polignac number, because 123122333031053 - 2⁴⁶ = 52753588853389 is a prime.

It is a super-2 number, since 2×123122333031053² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123122333031013) 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, 61561166515526 + 61561166515527.

It is an arithmetic number, because the mean of its divisors is an integer number (61561166515527).

Almost surely, 2^{123122333031053} is an apocalyptic number.

It is an amenable number.

123122333031053 is a deficient number, since it is larger than the sum of its proper divisors (1).

123122333031053 is an equidigital number, since it uses as much as digits as its factorization.

123122333031053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 32.

Adding to 123122333031053 its reverse (350130333221321), we get a palindrome (473252666252374).

The spelling of 123122333031053 in words is "one hundred twenty-three trillion, one hundred twenty-two billion, three hundred thirty-three million, thirty-one thousand, fifty-three".