123331310200 has 192 divisors, whose sum is σ = 343103040000. Its totient is φ = 40333923840.

The previous prime is 123331310159. The next prime is 123331310203. The reversal of 123331310200 is 2013133321.

123331310200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123331310200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123331310203) 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, 3351501 + ... + 3388099.

It is an arithmetic number, because the mean of its divisors is an integer number (1786995000).

Almost surely, 2^123331310200 is an apocalyptic number.

123331310200 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 123331310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171551520000).

123331310200 is an abundant number, since it is smaller than the sum of its proper divisors (219771729800).

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

123331310200 is a wasteful number, since it uses less digits than its factorization.

123331310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36734 (or 36725 counting only the distinct ones).

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

Adding to 123331310200 its reverse (2013133321), we get a palindrome (125344443521).

The spelling of 123331310200 in words is "one hundred twenty-three billion, three hundred thirty-one million, three hundred ten thousand, two hundred".