123111133101 has 54 divisors (see below), whose sum is σ = 200117582574. Its totient is φ = 72876434400.

The previous prime is 123111133081. The next prime is 123111133111. The reversal of 123111133101 is 101331111321.

123111133101 is a `hidden beast` number, since 12 + 311 + 11 + 331 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121852657476 + 1258475625 = 349074^2 + 35475^2 .

It is not a de Polignac number, because 123111133101 - 2⁶ = 123111133037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123111133111) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1982991 + ... + 2044131.

Almost surely, 2^123111133101 is an apocalyptic number.

123111133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123111133101 is a deficient number, since it is larger than the sum of its proper divisors (77006449473).

123111133101 is a wasteful number, since it uses less digits than its factorization.

123111133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61255 (or 61198 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 123111133101 its reverse (101331111321), we get a palindrome (224442244422).

The spelling of 123111133101 in words is "one hundred twenty-three billion, one hundred eleven million, one hundred thirty-three thousand, one hundred one".