123331011100 has 144 divisors (see below), whose sum is σ = 295793068032. Its totient is φ = 44262400000.

The previous prime is 123331011059. The next prime is 123331011109. The reversal of 123331011100 is 1110133321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123331011109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27520860 + ... + 27525340.

It is an arithmetic number, because the mean of its divisors is an integer number (2054118528).

Almost surely, 2^123331011100 is an apocalyptic number.

123331011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123331011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147896534016).

123331011100 is an abundant number, since it is smaller than the sum of its proper divisors (172462056932).

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

123331011100 is a wasteful number, since it uses less digits than its factorization.

123331011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 123331011100 its reverse (1110133321), we get a palindrome (124441144421).

The spelling of 123331011100 in words is "one hundred twenty-three billion, three hundred thirty-one million, eleven thousand, one hundred".