11131313030300 has 72 divisors (see below), whose sum is σ = 24393099897936. Its totient is φ = 4408668828160.

The previous prime is 11131313030287. The next prime is 11131313030303. The reversal of 11131313030300 is 303031313111.

It is a super-2 number, since 2×11131313030300² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131313030303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20847464 + ... + 21374736.

It is an arithmetic number, because the mean of its divisors is an integer number (338793054138).

Almost surely, 2^{11131313030300} is an apocalyptic number.

11131313030300 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 11131313030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196549948968).

11131313030300 is an abundant number, since it is smaller than the sum of its proper divisors (13261786867636).

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

11131313030300 is a wasteful number, since it uses less digits than its factorization.

11131313030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529367 (or 529360 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 11131313030300 its reverse (303031313111), we get a palindrome (11434344343411).

The spelling of 11131313030300 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirteen million, thirty thousand, three hundred".