113311300000 has 144 divisors (see below), whose sum is σ = 279982626840. Its totient is φ = 45137920000.

The previous prime is 113311299991. The next prime is 113311300007. The reversal of 113311300000 is 3113311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 43803141264 + 69508158736 = 209292^2 + 263644^2 .

It is not an unprimeable number, because it can be changed into a prime (113311300007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25697796 + ... + 25702204.

Almost surely, 2^113311300000 is an apocalyptic number.

113311300000 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 113311300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991313420).

113311300000 is an abundant number, since it is smaller than the sum of its proper divisors (166671326840).

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

113311300000 is an frugal number, since it uses more digits than its factorization.

113311300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 113311300000 its reverse (3113311), we get a palindrome (113314413311).

The spelling of 113311300000 in words is "one hundred thirteen billion, three hundred eleven million, three hundred thousand".