113200101330 has 256 divisors, whose sum is σ = 316365004800. Its totient is φ = 25728675840.

The previous prime is 113200101323. The next prime is 113200101353. The reversal of 113200101330 is 33101002311.

It is a super-2 number, since 2×113200101330² (a number of 23 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28942075 + ... + 28945985.

It is an arithmetic number, because the mean of its divisors is an integer number (1235800800).

Almost surely, 2^113200101330 is an apocalyptic number.

113200101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113200101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158182502400).

113200101330 is an abundant number, since it is smaller than the sum of its proper divisors (203164903470).

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

113200101330 is a wasteful number, since it uses less digits than its factorization.

113200101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089.

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

Adding to 113200101330 its reverse (33101002311), we get a palindrome (146301103641).

The spelling of 113200101330 in words is "one hundred thirteen billion, two hundred million, one hundred one thousand, three hundred thirty".