113002213120 has 72 divisors (see below), whose sum is σ = 272188319760. Its totient is φ = 44948275200.

The previous prime is 113002213063. The next prime is 113002213133. The reversal of 113002213120 is 21312200311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113002213094 and 113002213103.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17481 + ... + 475720.

It is an arithmetic number, because the mean of its divisors is an integer number (3780393330).

Almost surely, 2^113002213120 is an apocalyptic number.

113002213120 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 113002213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136094159880).

113002213120 is an abundant number, since it is smaller than the sum of its proper divisors (159186106640).

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

113002213120 is an equidigital number, since it uses as much as digits as its factorization.

113002213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493401 (or 493387 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113002213120 its reverse (21312200311), we get a palindrome (134314413431).

The spelling of 113002213120 in words is "one hundred thirteen billion, two million, two hundred thirteen thousand, one hundred twenty".