11113313000 has 64 divisors (see below), whose sum is σ = 26243989200. Its totient is φ = 4404499200.

The previous prime is 11113312997. The next prime is 11113313011. The reversal of 11113313000 is 31331111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3856658404 + 7256654596 = 62102^2 + 85186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58022 + ... + 159978.

Almost surely, 2^11113313000 is an apocalyptic number.

11113313000 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 11113313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13121994600).

11113313000 is an abundant number, since it is smaller than the sum of its proper divisors (15130676200).

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

11113313000 is a wasteful number, since it uses less digits than its factorization.

11113313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102087 (or 102073 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 11113313000 its reverse (31331111), we get a palindrome (11144644111).

The spelling of 11113313000 in words is "eleven billion, one hundred thirteen million, three hundred thirteen thousand".