11013316144020 has 144 divisors (see below), whose sum is σ = 33514740539280. Its totient is φ = 2927426347008.

The previous prime is 11013316144001. The next prime is 11013316144063. The reversal of 11013316144020 is 2044161331011.

11013316144020 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 3 + 3 + 1 + 614 + 40 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 91057890564 + 10922258253456 = 301758^2 + 3304884^2 .

It is a super-2 number, since 2×11013316144020² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126784042 + ... + 126870878.

It is an arithmetic number, because the mean of its divisors is an integer number (232741253745).

Almost surely, 2^{11013316144020} is an apocalyptic number.

11013316144020 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 11013316144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16757370269640).

11013316144020 is an abundant number, since it is smaller than the sum of its proper divisors (22501424395260).

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

11013316144020 is a wasteful number, since it uses less digits than its factorization.

11013316144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89114 (or 89109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11013316144020 its reverse (2044161331011), we get a palindrome (13057477475031).

The spelling of 11013316144020 in words is "eleven trillion, thirteen billion, three hundred sixteen million, one hundred forty-four thousand, twenty".