11311002103200 has 144 divisors (see below), whose sum is σ = 37174762287936. Its totient is φ = 2986983014400.

The previous prime is 11311002103189. The next prime is 11311002103223. The reversal of 11311002103200 is 230120011311.

It is a happy number.

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 11311002103200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22631041 + ... + 23125440.

It is an arithmetic number, because the mean of its divisors is an integer number (258158071444).

Almost surely, 2^{11311002103200} is an apocalyptic number.

11311002103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311002103200 is an abundant number, since it is smaller than the sum of its proper divisors (25863760184736).

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

11311002103200 is a wasteful number, since it uses less digits than its factorization.

11311002103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45756607 (or 45756594 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11311002103200 its reverse (230120011311), we get a palindrome (11541122114511).

The spelling of 11311002103200 in words is "eleven trillion, three hundred eleven billion, two million, one hundred three thousand, two hundred".