11131221313200 has 60 divisors (see below), whose sum is σ = 35657012277128. Its totient is φ = 2968325683200.

The previous prime is 11131221313189. The next prime is 11131221313207. The reversal of 11131221313200 is 231312213111.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (11131221313207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4638007681 + ... + 4638010080.

Almost surely, 2^{11131221313200} is an apocalyptic number.

11131221313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131221313200 is an abundant number, since it is smaller than the sum of its proper divisors (24525790963928).

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

11131221313200 is a wasteful number, since it uses less digits than its factorization.

11131221313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276017782 (or 9276017771 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11131221313200 its reverse (231312213111), we get a palindrome (11362533526311).

The spelling of 11131221313200 in words is "eleven trillion, one hundred thirty-one billion, two hundred twenty-one million, three hundred thirteen thousand, two hundred".