11201111001300 has 216 divisors, whose sum is σ = 36491467896576. Its totient is φ = 2649190720000.

The previous prime is 11201111001299. The next prime is 11201111001313. The reversal of 11201111001300 is 310011110211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2274756 + ... + 5251355.

Almost surely, 2^{11201111001300} is an apocalyptic number.

11201111001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201111001300 is an abundant number, since it is smaller than the sum of its proper divisors (25290356895276).

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

11201111001300 is a wasteful number, since it uses less digits than its factorization.

11201111001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526191 (or 7526173 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11201111001300 its reverse (310011110211), we get a palindrome (11511122111511).

The spelling of 11201111001300 in words is "eleven trillion, two hundred one billion, one hundred eleven million, one thousand, three hundred".