113112222210 has 288 divisors, whose sum is σ = 338209868880. Its totient is φ = 26125811712.

The previous prime is 113112222203. The next prime is 113112222211. The reversal of 113112222210 is 12222211311.

It can be written as a sum of positive squares in 24 ways, for example, as 61228038249 + 51884183961 = 247443^2 + 227781^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113112222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159537336 + ... + 159538044.

Almost surely, 2^113112222210 is an apocalyptic number.

113112222210 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 113112222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169104934440).

113112222210 is an abundant number, since it is smaller than the sum of its proper divisors (225097646670).

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

113112222210 is a wasteful number, since it uses less digits than its factorization.

113112222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 113112222210 its reverse (12222211311), we get a palindrome (125334433521).

The spelling of 113112222210 in words is "one hundred thirteen billion, one hundred twelve million, two hundred twenty-two thousand, two hundred ten".