123133122210132 has 18 divisors (see below), whose sum is σ = 311253170031258. Its totient is φ = 41044374070032.

The previous prime is 123133122210071. The next prime is 123133122210139. The reversal of 123133122210132 is 231012221331321.

123133122210132 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 3 + 312 + 2 + 210 + 132 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118236133838736 + 4896988371396 = 10873644^2 + 2212914^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 123133122210096 and 123133122210105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133122210139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1710182252883 + ... + 1710182252954.

Almost surely, 2^{123133122210132} is an apocalyptic number.

123133122210132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123133122210132 is an abundant number, since it is smaller than the sum of its proper divisors (188120047821126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123133122210132 is a wasteful number, since it uses less digits than its factorization.

123133122210132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420364505847 (or 3420364505842 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123133122210132 its reverse (231012221331321), we get a palindrome (354145343541453).

The spelling of 123133122210132 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred ten thousand, one hundred thirty-two".