11200001013300 has 288 divisors, whose sum is σ = 36115968430080. Its totient is φ = 2656459814400.

The previous prime is 11200001013281. The next prime is 11200001013371. The reversal of 11200001013300 is 331010000211.

11200001013300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514766022 + ... + 514787778.

It is an arithmetic number, because the mean of its divisors is an integer number (125402668160).

Almost surely, 2^{11200001013300} is an apocalyptic number.

11200001013300 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 11200001013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057984215040).

11200001013300 is an abundant number, since it is smaller than the sum of its proper divisors (24915967416780).

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

11200001013300 is a wasteful number, since it uses less digits than its factorization.

11200001013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25151 (or 25144 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11200001013300 its reverse (331010000211), we get a palindrome (11531011013511).

The spelling of 11200001013300 in words is "eleven trillion, two hundred billion, one million, thirteen thousand, three hundred".