123312013330300 has 144 divisors (see below), whose sum is σ = 281151890127360. Its totient is φ = 46878725456640.

The previous prime is 123312013330241. The next prime is 123312013330339. The reversal of 123312013330300 is 3033310213321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265375969 + ... + 265840231.

It is an arithmetic number, because the mean of its divisors is an integer number (1952443681440).

Almost surely, 2^{123312013330300} is an apocalyptic number.

123312013330300 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 123312013330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140575945063680).

123312013330300 is an abundant number, since it is smaller than the sum of its proper divisors (157839876797060).

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

123312013330300 is a wasteful number, since it uses less digits than its factorization.

123312013330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465740 (or 465733 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 123312013330300 its reverse (3033310213321), we get a palindrome (126345323543621).

The spelling of 123312013330300 in words is "one hundred twenty-three trillion, three hundred twelve billion, thirteen million, three hundred thirty thousand, three hundred".