11042152531300 has 288 divisors, whose sum is σ = 28364044584960. Its totient is φ = 3687456960000.

The previous prime is 11042152531297. The next prime is 11042152531321. The reversal of 11042152531300 is 313525124011.

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, 209537955 + ... + 209590645.

It is an arithmetic number, because the mean of its divisors is an integer number (98486265920).

Almost surely, 2^{11042152531300} is an apocalyptic number.

11042152531300 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 11042152531300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182022292480).

11042152531300 is an abundant number, since it is smaller than the sum of its proper divisors (17321892053660).

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

11042152531300 is a wasteful number, since it uses less digits than its factorization.

11042152531300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53043 (or 53036 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 11042152531300 its reverse (313525124011), we get a palindrome (11355677655311).

The spelling of 11042152531300 in words is "eleven trillion, forty-two billion, one hundred fifty-two million, five hundred thirty-one thousand, three hundred".