113331032130000 has 200 divisors, whose sum is σ = 366813016636000. Its totient is φ = 30141865152000.

The previous prime is 113331032129983. The next prime is 113331032130007. The reversal of 113331032130000 is 31230133311.

113331032130000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113331032130007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6386226 + ... + 16353774.

It is an arithmetic number, because the mean of its divisors is an integer number (1834065083180).

Almost surely, 2^{113331032130000} is an apocalyptic number.

113331032130000 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 113331032130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183406508318000).

113331032130000 is an abundant number, since it is smaller than the sum of its proper divisors (253481984506000).

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

113331032130000 is an equidigital number, since it uses as much as digits as its factorization.

113331032130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9967959 (or 9967938 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 113331032130000 its reverse (31230133311), we get a palindrome (113362262263311).

The spelling of 113331032130000 in words is "one hundred thirteen trillion, three hundred thirty-one billion, thirty-two million, one hundred thirty thousand".