111305105513 has 16 divisors (see below), whose sum is σ = 128422800000. Its totient is φ = 94492334592.

The previous prime is 111305105503. The next prime is 111305105563. The reversal of 111305105513 is 315501503111.

It is a cyclic number.

It is not a de Polignac number, because 111305105513 - 2¹⁶ = 111305039977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111305105503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032313 + ... + 2086361.

It is an arithmetic number, because the mean of its divisors is an integer number (8026425000).

Almost surely, 2^111305105513 is an apocalyptic number.

It is an amenable number.

111305105513 is a deficient number, since it is larger than the sum of its proper divisors (17117694487).

111305105513 is a wasteful number, since it uses less digits than its factorization.

111305105513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56864.

The product of its (nonzero) digits is 1125, while the sum is 26.

Adding to 111305105513 its reverse (315501503111), we get a palindrome (426806608624).

The spelling of 111305105513 in words is "one hundred eleven billion, three hundred five million, one hundred five thousand, five hundred thirteen".