123013003300 has 144 divisors (see below), whose sum is σ = 301553824320. Its totient is φ = 43145536000.

The previous prime is 123013003297. The next prime is 123013003303. The reversal of 123013003300 is 3300310321.

It is an interprime number because it is at equal distance from previous prime (123013003297) and next prime (123013003303).

It is not an unprimeable number, because it can be changed into a prime (123013003303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61597902 + ... + 61599898.

It is an arithmetic number, because the mean of its divisors is an integer number (2094123780).

Almost surely, 2^123013003300 is an apocalyptic number.

123013003300 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 123013003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150776912160).

123013003300 is an abundant number, since it is smaller than the sum of its proper divisors (178540821020).

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

123013003300 is a wasteful number, since it uses less digits than its factorization.

123013003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 123013003300 its reverse (3300310321), we get a palindrome (126313313621).

The spelling of 123013003300 in words is "one hundred twenty-three billion, thirteen million, three thousand, three hundred".