11300322300311 has 48 divisors (see below), whose sum is σ = 12759251251488. Its totient is φ = 9997020000000.

The previous prime is 11300322300307. The next prime is 11300322300313.

11300322300311 is nontrivially palindromic in base 10.

11300322300311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11300322300311 - 2² = 11300322300307 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 (11300322300313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141326461 + ... + 1141336361.

It is an arithmetic number, because the mean of its divisors is an integer number (265817734406).

Almost surely, 2^{11300322300311} is an apocalyptic number.

11300322300311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11300322300311 is a deficient number, since it is larger than the sum of its proper divisors (1458928951177).

11300322300311 is a wasteful number, since it uses less digits than its factorization.

11300322300311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11605 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1130032 and 2300311, that added together give a palindrome (3430343).

The spelling of 11300322300311 in words is "eleven trillion, three hundred billion, three hundred twenty-two million, three hundred thousand, three hundred eleven".