113130121123200 has 384 divisors, whose sum is σ = 388867244474880. Its totient is φ = 28853118074880.

The previous prime is 113130121123189. The next prime is 113130121123339. The reversal of 113130121123200 is 2321121031311.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2407358904 + ... + 2407405896.

It is an arithmetic number, because the mean of its divisors is an integer number (1012675115820).

Almost surely, 2^{113130121123200} is an apocalyptic number.

113130121123200 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 113130121123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194433622237440).

113130121123200 is an abundant number, since it is smaller than the sum of its proper divisors (275737123351680).

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

113130121123200 is a wasteful number, since it uses less digits than its factorization.

113130121123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57946 (or 57929 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 113130121123200 its reverse (2321121031311), we get a palindrome (115451242154511).

The spelling of 113130121123200 in words is "one hundred thirteen trillion, one hundred thirty billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred".