11001332131300 has 144 divisors (see below), whose sum is σ = 27397403953920. Its totient is φ = 3756134592000.

The previous prime is 11001332131297. The next prime is 11001332131303. The reversal of 11001332131300 is 313123310011.

It is an interprime number because it is at equal distance from previous prime (11001332131297) and next prime (11001332131303).

It is not an unprimeable number, because it can be changed into a prime (11001332131303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230955886 + ... + 231003514.

It is an arithmetic number, because the mean of its divisors is an integer number (190259749680).

Almost surely, 2^{11001332131300} is an apocalyptic number.

11001332131300 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 11001332131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698701976960).

11001332131300 is an abundant number, since it is smaller than the sum of its proper divisors (16396071822620).

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

11001332131300 is a wasteful number, since it uses less digits than its factorization.

11001332131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49022 (or 49015 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11001332131300 its reverse (313123310011), we get a palindrome (11314455441311).

The spelling of 11001332131300 in words is "eleven trillion, one billion, three hundred thirty-two million, one hundred thirty-one thousand, three hundred".