11110313313000 has 384 divisors, whose sum is σ = 40990332839040. Its totient is φ = 2691859200000.

The previous prime is 11110313312999. The next prime is 11110313313053. The reversal of 11110313313000 is 31331301111.

11110313313000 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 31 + 331 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176881600 + ... + 176944400.

It is an arithmetic number, because the mean of its divisors is an integer number (106745658435).

Almost surely, 2^{11110313313000} is an apocalyptic number.

11110313313000 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 11110313313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495166419520).

11110313313000 is an abundant number, since it is smaller than the sum of its proper divisors (29880019526040).

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

11110313313000 is a wasteful number, since it uses less digits than its factorization.

11110313313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64626 (or 64609 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11110313313000 its reverse (31331301111), we get a palindrome (11141644614111).

It can be divided in two parts, 11 and 110313313000, that added together give a palindrome (110313313011).

The spelling of 11110313313000 in words is "eleven trillion, one hundred ten billion, three hundred thirteen million, three hundred thirteen thousand".