120313030100 has 144 divisors (see below), whose sum is σ = 271238889600. Its totient is φ = 46298142720.

The previous prime is 120313030067. The next prime is 120313030121. The reversal of 120313030100 is 1030313021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59004881 + ... + 59006919.

It is an arithmetic number, because the mean of its divisors is an integer number (1883603400).

Almost surely, 2^120313030100 is an apocalyptic number.

120313030100 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 120313030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135619444800).

120313030100 is an abundant number, since it is smaller than the sum of its proper divisors (150925859500).

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

120313030100 is a wasteful number, since it uses less digits than its factorization.

120313030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 120313030100 its reverse (1030313021), we get a palindrome (121343343121).

The spelling of 120313030100 in words is "one hundred twenty billion, three hundred thirteen million, thirty thousand, one hundred".