123113404100 has 144 divisors (see below), whose sum is σ = 287119123200. Its totient is φ = 45701061120.

The previous prime is 123113404091. The next prime is 123113404109. The reversal of 123113404100 is 1404311321.

It is an interprime number because it is at equal distance from previous prime (123113404091) and next prime (123113404109).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (123113404109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33102041 + ... + 33105759.

It is an arithmetic number, because the mean of its divisors is an integer number (1993882800).

Almost surely, 2^123113404100 is an apocalyptic number.

123113404100 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 123113404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143559561600).

123113404100 is an abundant number, since it is smaller than the sum of its proper divisors (164005719100).

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

123113404100 is a wasteful number, since it uses less digits than its factorization.

123113404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123113404100 its reverse (1404311321), we get a palindrome (124517715421).

The spelling of 123113404100 in words is "one hundred twenty-three billion, one hundred thirteen million, four hundred four thousand, one hundred".