1001113313200 has 480 divisors, whose sum is σ = 3235789896192. Its totient is φ = 287456256000.

The previous prime is 1001113313197. The next prime is 1001113313261. The reversal of 1001113313200 is 23133111001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225422980 + ... + 225427420.

Almost surely, 2^{1001113313200} is an apocalyptic number.

1001113313200 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 1001113313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617894948096).

1001113313200 is an abundant number, since it is smaller than the sum of its proper divisors (2234676582992).

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

1001113313200 is a wasteful number, since it uses less digits than its factorization.

1001113313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1001113313200 its reverse (23133111001), we get a palindrome (1024246424201).

The spelling of 1001113313200 in words is "one trillion, one billion, one hundred thirteen million, three hundred thirteen thousand, two hundred".