11013001200 has 180 divisors, whose sum is σ = 40466526048. Its totient is φ = 2764032000.

The previous prime is 11013001187. The next prime is 11013001211. The reversal of 11013001200 is 210031011.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28776 + ... + 151175.

Almost surely, 2^11013001200 is an apocalyptic number.

11013001200 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 11013001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233263024).

11013001200 is an abundant number, since it is smaller than the sum of its proper divisors (29453524848).

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

11013001200 is a wasteful number, since it uses less digits than its factorization.

11013001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179992 (or 179978 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11013001200 its reverse (210031011), we get a palindrome (11223032211).

It can be divided in two parts, 1101300 and 1200, that added together give a square (1102500 = 1050²).

The spelling of 11013001200 in words is "eleven billion, thirteen million, one thousand, two hundred".