11200001120113 has 8 divisors (see below), whose sum is σ = 12132909727400. Its totient is φ = 10338462570384.

The previous prime is 11200001120111. The next prime is 11200001120137. The reversal of 11200001120113 is 31102110000211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4997674860304 + 6202326259809 = 2235548^2 + 2490447^2 .

It is not a de Polignac number, because 11200001120113 - 2¹ = 11200001120111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11200001120093 and 11200001120102.

It is not an unprimeable number, because it can be changed into a prime (11200001120111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2548928418 + ... + 2548932811.

It is an arithmetic number, because the mean of its divisors is an integer number (1516613715925).

Almost surely, 2^{11200001120113} is an apocalyptic number.

11200001120113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11200001120113 is a deficient number, since it is larger than the sum of its proper divisors (932908607287).

11200001120113 is an frugal number, since it uses more digits than its factorization.

11200001120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097861268 (or 5097861242 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11200001120113 its reverse (31102110000211), we get a palindrome (42302111120324).

The spelling of 11200001120113 in words is "eleven trillion, two hundred billion, one million, one hundred twenty thousand, one hundred thirteen".