11311030111200 has 144 divisors (see below), whose sum is σ = 37715388779376. Its totient is φ = 2942706995200.

The previous prime is 11311030111163. The next prime is 11311030111207. The reversal of 11311030111200 is 211103011311.

11311030111200 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 11311030111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311030111207) 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, 57376347 + ... + 57573146.

It is an arithmetic number, because the mean of its divisors is an integer number (261912422079).

Almost surely, 2^{11311030111200} is an apocalyptic number.

11311030111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311030111200 is an abundant number, since it is smaller than the sum of its proper divisors (26404358668176).

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

11311030111200 is a wasteful number, since it uses less digits than its factorization.

11311030111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114949557 (or 114949544 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11311030111200 its reverse (211103011311), we get a palindrome (11522133122511).

The spelling of 11311030111200 in words is "eleven trillion, three hundred eleven billion, thirty million, one hundred eleven thousand, two hundred".