11301100110311 has 4 divisors (see below), whose sum is σ = 12328472847624. Its totient is φ = 10273727373000.

The previous prime is 11301100110301. The next prime is 11301100110317.

11301100110311 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 11301100110311 - 2¹⁰ = 11301100109287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301100110317) 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 3 ways as a sum of consecutive naturals, for example, 513686368640 + ... + 513686368661.

It is an arithmetic number, because the mean of its divisors is an integer number (3082118211906).

Almost surely, 2^{11301100110311} is an apocalyptic number.

11301100110311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11301100110311 is a deficient number, since it is larger than the sum of its proper divisors (1027372737313).

11301100110311 is a wasteful number, since it uses less digits than its factorization.

11301100110311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027372737312.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 11301100 and 110311, that added together give a palindrome (11411411).

The spelling of 11301100110311 in words is "eleven trillion, three hundred one billion, one hundred million, one hundred ten thousand, three hundred eleven".