120113333100 has 216 divisors, whose sum is σ = 387402423408. Its totient is φ = 31105036800.

The previous prime is 120113333083. The next prime is 120113333101. The reversal of 120113333100 is 1333311021.

It is a happy number.

120113333100 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 333 + 310 + 0 = 666.

It is a super-3 number, since 3×120113333100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120113333101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19011142 + ... + 19017458.

It is an arithmetic number, because the mean of its divisors is an integer number (1793529738).

Almost surely, 2^120113333100 is an apocalyptic number.

120113333100 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 120113333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193701211704).

120113333100 is an abundant number, since it is smaller than the sum of its proper divisors (267289090308).

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

120113333100 is a wasteful number, since it uses less digits than its factorization.

120113333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 120113333100 its reverse (1333311021), we get a palindrome (121446644121).

The spelling of 120113333100 in words is "one hundred twenty billion, one hundred thirteen million, three hundred thirty-three thousand, one hundred".