11100311131200 has 168 divisors, whose sum is σ = 36752385077760. Its totient is φ = 2932926105600.

The previous prime is 11100311131177. The next prime is 11100311131207. The reversal of 11100311131200 is 213111300111.

It is a super-2 number, since 2×11100311131200² (a number of 27 digits) contains 22 as substring.

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 11100311131200.

It is not an unprimeable number, because it can be changed into a prime (11100311131207) 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, 10084896 + ... + 11131295.

Almost surely, 2^{11100311131200} is an apocalyptic number.

11100311131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100311131200 is an abundant number, since it is smaller than the sum of its proper divisors (25652073946560).

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

11100311131200 is a wasteful number, since it uses less digits than its factorization.

11100311131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21216325 (or 21216310 counting only the distinct ones).

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

Adding to 11100311131200 its reverse (213111300111), we get a palindrome (11313422431311).

The spelling of 11100311131200 in words is "eleven trillion, one hundred billion, three hundred eleven million, one hundred thirty-one thousand, two hundred".