11132300131288 has 128 divisors (see below), whose sum is σ = 24724207779840. Its totient is φ = 4598415360000.

The previous prime is 11132300131223. The next prime is 11132300131289. The reversal of 11132300131288 is 88213100323111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132300131289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434825688 + ... + 434851288.

It is an arithmetic number, because the mean of its divisors is an integer number (193157873280).

Almost surely, 2^{11132300131288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132300131288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362103889920).

11132300131288 is an abundant number, since it is smaller than the sum of its proper divisors (13591907648552).

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

11132300131288 is a wasteful number, since it uses less digits than its factorization.

11132300131288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26649 (or 26645 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

Adding to 11132300131288 its reverse (88213100323111), we get a palindrome (99345400454399).

The spelling of 11132300131288 in words is "eleven trillion, one hundred thirty-two billion, three hundred million, one hundred thirty-one thousand, two hundred eighty-eight".