113311030200000 has 336 divisors, whose sum is σ = 375229106800128. Its totient is φ = 30175920000000.

The previous prime is 113311030199993. The next prime is 113311030200083. The reversal of 113311030200000 is 2030113311.

113311030200000 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-3 number, since 3×113311030200000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 450474267 + ... + 450725733.

It is an arithmetic number, because the mean of its divisors is an integer number (1116753294048).

Almost surely, 2^{113311030200000} is an apocalyptic number.

113311030200000 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 113311030200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187614553400064).

113311030200000 is an abundant number, since it is smaller than the sum of its proper divisors (261918076600128).

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

113311030200000 is an frugal number, since it uses more digits than its factorization.

113311030200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252258 (or 252228 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113311030200000 its reverse (2030113311), we get a palindrome (113313060313311).

The spelling of 113311030200000 in words is "one hundred thirteen trillion, three hundred eleven billion, thirty million, two hundred thousand".