11311301200113 has 6 divisors (see below), whose sum is σ = 16338546177954. Its totient is φ = 7540867466736.

The previous prime is 11311301200081. The next prime is 11311301200247. The reversal of 11311301200113 is 31100210311311.

11311301200113 is a `hidden beast` number, since 11 + 311 + 30 + 1 + 200 + 113 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9620617330944 + 1690683869169 = 3101712^2 + 1300263^2 .

It is not a de Polignac number, because 11311301200113 - 2⁵ = 11311301200081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11311301200313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 628405622220 + ... + 628405622237.

It is an arithmetic number, because the mean of its divisors is an integer number (2723091029659).

Almost surely, 2^{11311301200113} is an apocalyptic number.

It is an amenable number.

11311301200113 is a deficient number, since it is larger than the sum of its proper divisors (5027244977841).

11311301200113 is a wasteful number, since it uses less digits than its factorization.

11311301200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256811244463 (or 1256811244460 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11311301200113 its reverse (31100210311311), we get a palindrome (42411511511424).

The spelling of 11311301200113 in words is "eleven trillion, three hundred eleven billion, three hundred one million, two hundred thousand, one hundred thirteen".