113112220 has 96 divisors (see below), whose sum is σ = 274252608. Its totient is φ = 38817792.

The previous prime is 113112199. The next prime is 113112283. The reversal of 113112220 is 22211311.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 113112220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693859 + ... + 694021.

It is an arithmetic number, because the mean of its divisors is an integer number (2856798).

Almost surely, 2^113112220 is an apocalyptic number.

113112220 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 113112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137126304).

113112220 is an abundant number, since it is smaller than the sum of its proper divisors (161140388).

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

113112220 is a wasteful number, since it uses less digits than its factorization.

113112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 113112220 is about 10635.4228876900. The cubic root of 113112220 is about 483.6188003162.

Adding to 113112220 its reverse (22211311), we get a palindrome (135323531).

Subtracting from 113112220 its reverse (22211311), we obtain a palindrome (90900909).

It can be divided in two parts, 11311 and 2220, that added together give a palindrome (13531).

The spelling of 113112220 in words is "one hundred thirteen million, one hundred twelve thousand, two hundred twenty".