11331131101200 has 360 divisors, whose sum is σ = 41641364969568. Its totient is φ = 2843473489920.

The previous prime is 11331131101181. The next prime is 11331131101219. The reversal of 11331131101200 is 210113113311.

11331131101200 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 31 + 101 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (11331131101181) and next prime (11331131101219).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 804589359 + ... + 804603441.

Almost surely, 2^{11331131101200} is an apocalyptic number.

11331131101200 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 11331131101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820682484784).

11331131101200 is an abundant number, since it is smaller than the sum of its proper divisors (30310233868368).

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

11331131101200 is a wasteful number, since it uses less digits than its factorization.

11331131101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27271 (or 27257 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11331131101200 its reverse (210113113311), we get a palindrome (11541244214511).

The spelling of 11331131101200 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred one thousand, two hundred".