113221021312 has 144 divisors (see below), whose sum is σ = 266205123810. Its totient is φ = 47826508800.

The previous prime is 113221021307. The next prime is 113221021327. The reversal of 113221021312 is 213120122311.

It can be written as a sum of positive squares in only one way, i.e., 75264630336 + 37956390976 = 274344^2 + 194824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113221021312.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31615362 + ... + 31618942.

Almost surely, 2^113221021312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113221021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133102561905).

113221021312 is an abundant number, since it is smaller than the sum of its proper divisors (152984102498).

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

113221021312 is an frugal number, since it uses more digits than its factorization.

113221021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 113221021312 its reverse (213120122311), we get a palindrome (326341143623).

The spelling of 113221021312 in words is "one hundred thirteen billion, two hundred twenty-one million, twenty-one thousand, three hundred twelve".