113303220030 has 768 divisors, whose sum is σ = 427840358400. Its totient is φ = 20021022720.

The previous prime is 113303219989. The next prime is 113303220097. The reversal of 113303220030 is 30022303311.

113303220030 is a `hidden beast` number, since 11 + 330 + 322 + 0 + 0 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113303219985 and 113303220012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63332376 + ... + 63334164.

It is an arithmetic number, because the mean of its divisors is an integer number (557083800).

Almost surely, 2^113303220030 is an apocalyptic number.

113303220030 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 113303220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213920179200).

113303220030 is an abundant number, since it is smaller than the sum of its proper divisors (314537138370).

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

113303220030 is a wasteful number, since it uses less digits than its factorization.

113303220030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 113303220030 its reverse (30022303311), we get a palindrome (143325523341).

It can be divided in two parts, 113303 and 220030, that added together give a palindrome (333333).

The spelling of 113303220030 in words is "one hundred thirteen billion, three hundred three million, two hundred twenty thousand, thirty".