123300312131100 has 144 divisors (see below), whose sum is σ = 387591049272672. Its totient is φ = 30082254397440.

The previous prime is 123300312131041. The next prime is 123300312131119. The reversal of 123300312131100 is 1131213003321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 139450737 + ... + 140332136.

It is an arithmetic number, because the mean of its divisors is an integer number (2691604508838).

Almost surely, 2^{123300312131100} is an apocalyptic number.

123300312131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123300312131100 is an abundant number, since it is smaller than the sum of its proper divisors (264290737141572).

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

123300312131100 is a wasteful number, since it uses less digits than its factorization.

123300312131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279783016 (or 279783009 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 123300312131100 its reverse (1131213003321), we get a palindrome (124431525134421).

The spelling of 123300312131100 in words is "one hundred twenty-three trillion, three hundred billion, three hundred twelve million, one hundred thirty-one thousand, one hundred".