113311313000 has 128 divisors (see below), whose sum is σ = 271384888320. Its totient is φ = 44262745600.

The previous prime is 113311312993. The next prime is 113311313033. The reversal of 113311313000 is 313113311.

It is a self number, because there is not a number n which added to its sum of digits gives 113311313000.

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, 23638604 + ... + 23643396.

It is an arithmetic number, because the mean of its divisors is an integer number (2120194440).

Almost surely, 2^113311313000 is an apocalyptic number.

113311313000 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 113311313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135692444160).

113311313000 is an abundant number, since it is smaller than the sum of its proper divisors (158073575320).

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

113311313000 is a wasteful number, since it uses less digits than its factorization.

113311313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 113311313000 its reverse (313113311), we get a palindrome (113624426311).

It can be divided in two parts, 113 and 311313000, that added together give a palindrome (311313113).

The spelling of 113311313000 in words is "one hundred thirteen billion, three hundred eleven million, three hundred thirteen thousand".