11311202300112 has 960 divisors, whose sum is σ = 40516846755840. Its totient is φ = 2893095014400.

The previous prime is 11311202300107. The next prime is 11311202300113. The reversal of 11311202300112 is 21100320211311.

11311202300112 is a `hidden beast` number, since 1 + 131 + 120 + 2 + 300 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311202300113) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5664096298 + ... + 5664098294.

It is an arithmetic number, because the mean of its divisors is an integer number (42205048704).

Almost surely, 2^{11311202300112} is an apocalyptic number.

11311202300112 is a gapful number since it is divisible by the number (12) 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 11311202300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258423377920).

11311202300112 is an abundant number, since it is smaller than the sum of its proper divisors (29205644455728).

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

11311202300112 is a wasteful number, since it uses less digits than its factorization.

11311202300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11311202300112 its reverse (21100320211311), we get a palindrome (32411522511423).

The spelling of 11311202300112 in words is "eleven trillion, three hundred eleven billion, two hundred two million, three hundred thousand, one hundred twelve".