123553120521133 has 2 divisors, whose sum is σ = 123553120521134. Its totient is φ = 123553120521132.

The previous prime is 123553120521121. The next prime is 123553120521151. The reversal of 123553120521133 is 331125021355321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121485960952489 + 2067159568644 = 11022067^2 + 1437762^2 .

It is a cyclic number.

It is not a de Polignac number, because 123553120521133 - 2⁵ = 123553120521101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123553120521092 and 123553120521101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123553121521133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61776560260566 + 61776560260567.

It is an arithmetic number, because the mean of its divisors is an integer number (61776560260567).

Almost surely, 2^{123553120521133} is an apocalyptic number.

It is an amenable number.

123553120521133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123553120521133 is an equidigital number, since it uses as much as digits as its factorization.

123553120521133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81000, while the sum is 37.

Adding to 123553120521133 its reverse (331125021355321), we get a palindrome (454678141876454).

The spelling of 123553120521133 in words is "one hundred twenty-three trillion, five hundred fifty-three billion, one hundred twenty million, five hundred twenty-one thousand, one hundred thirty-three".