111312435013 has 16 divisors (see below), whose sum is σ = 121341855600. Its totient is φ = 101494863360.

The previous prime is 111312434963. The next prime is 111312435023. The reversal of 111312435013 is 310534213111.

It can be written as a sum of positive squares in 8 ways, for example, as 1278920644 + 110033514369 = 35762^2 + 331713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111312435013 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 (111312435023) 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 15 ways as a sum of consecutive naturals, for example, 1134183 + ... + 1228411.

It is an arithmetic number, because the mean of its divisors is an integer number (7583865975).

Almost surely, 2^111312435013 is an apocalyptic number.

111312435013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111312435013 is a deficient number, since it is larger than the sum of its proper divisors (10029420587).

111312435013 is a wasteful number, since it uses less digits than its factorization.

111312435013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95352.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 111312435013 its reverse (310534213111), we get a palindrome (421846648124).

The spelling of 111312435013 in words is "one hundred eleven billion, three hundred twelve million, four hundred thirty-five thousand, thirteen".