123300013320100 has 36 divisors (see below), whose sum is σ = 267570973494468. Its totient is φ = 49318172224000.

The previous prime is 123300013320097. The next prime is 123300013320103. The reversal of 123300013320100 is 1023310003321.

It is an interprime number because it is at equal distance from previous prime (123300013320097) and next prime (123300013320103).

It can be written as a sum of positive squares in 6 ways, for example, as 46097807616 + 123253915512484 = 214704^2 + 11101978^2 .

It is not an unprimeable number, because it can be changed into a prime (123300013320103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20208241 + ... + 25592440.

It is an arithmetic number, because the mean of its divisors is an integer number (7432527041513).

Almost surely, 2^{123300013320100} is an apocalyptic number.

123300013320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123300013320100 is an abundant number, since it is smaller than the sum of its proper divisors (144270960174368).

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

123300013320100 is a wasteful number, since it uses less digits than its factorization.

123300013320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45827616 (or 45827609 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 123300013320100 its reverse (1023310003321), we get a palindrome (124323323323421).

The spelling of 123300013320100 in words is "one hundred twenty-three trillion, three hundred billion, thirteen million, three hundred twenty thousand, one hundred".