11042113341330 has 160 divisors (see below), whose sum is σ = 31256770723200. Its totient is φ = 2789312537088.

The previous prime is 11042113341323. The next prime is 11042113341353. The reversal of 11042113341330 is 3314331124011.

11042113341330 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 211 + 3 + 3 + 413 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11042113341294 and 11042113341303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 189929706 + ... + 189987834.

It is an arithmetic number, because the mean of its divisors is an integer number (195354817020).

Almost surely, 2^{11042113341330} is an apocalyptic number.

11042113341330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11042113341330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628385361600).

11042113341330 is an abundant number, since it is smaller than the sum of its proper divisors (20214657381870).

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

11042113341330 is a wasteful number, since it uses less digits than its factorization.

11042113341330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70510 (or 70501 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11042113341330 its reverse (3314331124011), we get a palindrome (14356444465341).

The spelling of 11042113341330 in words is "eleven trillion, forty-two billion, one hundred thirteen million, three hundred forty-one thousand, three hundred thirty".