11131003101300 has 144 divisors (see below), whose sum is σ = 32599484541120. Its totient is φ = 2931986856960.

The previous prime is 11131003101259. The next prime is 11131003101311. The reversal of 11131003101300 is 310130013111.

11131003101300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11131003101300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152675256 + ... + 152748144.

Almost surely, 2^{11131003101300} is an apocalyptic number.

11131003101300 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 11131003101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299742270560).

11131003101300 is an abundant number, since it is smaller than the sum of its proper divisors (21468481439820).

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

11131003101300 is a wasteful number, since it uses less digits than its factorization.

11131003101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79122 (or 79115 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 11131003101300 its reverse (310130013111), we get a palindrome (11441133114411).

The spelling of 11131003101300 in words is "eleven trillion, one hundred thirty-one billion, three million, one hundred one thousand, three hundred".