11133140240000 has 160 divisors (see below), whose sum is σ = 27722292354900. Its totient is φ = 4452125696000.

The previous prime is 11133140239981. The next prime is 11133140240009. The reversal of 11133140240000 is 4204133111.

It can be written as a sum of positive squares in 10 ways, for example, as 2132324221504 + 9000816018496 = 1460248^2 + 3000136^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11133140240009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 361344596 + ... + 361375404.

Almost surely, 2^{11133140240000} is an apocalyptic number.

11133140240000 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 11133140240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13861146177450).

11133140240000 is an abundant number, since it is smaller than the sum of its proper divisors (16589152114900).

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

11133140240000 is an frugal number, since it uses more digits than its factorization.

11133140240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35360 (or 35333 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11133140240000 its reverse (4204133111), we get a palindrome (11137344373111).

The spelling of 11133140240000 in words is "eleven trillion, one hundred thirty-three billion, one hundred forty million, two hundred forty thousand".