11031314344100 has 72 divisors (see below), whose sum is σ = 24215741921448. Its totient is φ = 4361467648000.

The previous prime is 11031314344093. The next prime is 11031314344103. The reversal of 11031314344100 is 144341313011.

It can be written as a sum of positive squares in 12 ways, for example, as 1097080277056 + 9934234067044 = 1047416^2 + 3151862^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11031314344100.

It is not an unprimeable number, because it can be changed into a prime (11031314344103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5068382 + ... + 6910218.

It is an arithmetic number, because the mean of its divisors is an integer number (336329748909).

Almost surely, 2^{11031314344100} is an apocalyptic number.

11031314344100 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 11031314344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107870960724).

11031314344100 is an abundant number, since it is smaller than the sum of its proper divisors (13184427577348).

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

11031314344100 is a wasteful number, since it uses less digits than its factorization.

11031314344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842545 (or 1842538 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 11031314344100 its reverse (144341313011), we get a palindrome (11175655657111).

The spelling of 11031314344100 in words is "eleven trillion, thirty-one billion, three hundred fourteen million, three hundred forty-four thousand, one hundred".