11301300112201 has 24 divisors (see below), whose sum is σ = 13197747434760. Its totient is φ = 9651538068480.

The previous prime is 11301300112199. The next prime is 11301300112237. The reversal of 11301300112201 is 10221100310311.

It is a happy number.

11301300112201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6225399255625 + 5075900856576 = 2495075^2 + 2252976^2 .

It is not a de Polignac number, because 11301300112201 - 2¹ = 11301300112199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11301300112301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43392616 + ... + 43652281.

It is an arithmetic number, because the mean of its divisors is an integer number (549906143115).

Almost surely, 2^{11301300112201} is an apocalyptic number.

11301300112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11301300112201 is a deficient number, since it is larger than the sum of its proper divisors (1896447322559).

11301300112201 is a wasteful number, since it uses less digits than its factorization.

11301300112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87044985 (or 87044974 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11301300112201 its reverse (10221100310311), we get a palindrome (21522400422512).

The spelling of 11301300112201 in words is "eleven trillion, three hundred one billion, three hundred million, one hundred twelve thousand, two hundred one".