111313003121 has 16 divisors (see below), whose sum is σ = 118475272080. Its totient is φ = 104219934720.

The previous prime is 111313003103. The next prime is 111313003133. The reversal of 111313003121 is 121300313111.

It can be written as a sum of positive squares in 8 ways, for example, as 40894950625 + 70418052496 = 202225^2 + 265364^2 .

It is a cyclic number.

It is not a de Polignac number, because 111313003121 - 2⁶ = 111313003057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111313003121.

It is not an unprimeable number, because it can be changed into a prime (111313003141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3988865 + ... + 4016673.

It is an arithmetic number, because the mean of its divisors is an integer number (7404704505).

Almost surely, 2^111313003121 is an apocalyptic number.

It is an amenable number.

111313003121 is a deficient number, since it is larger than the sum of its proper divisors (7162268959).

111313003121 is a wasteful number, since it uses less digits than its factorization.

111313003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29044.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 111313003121 its reverse (121300313111), we get a palindrome (232613316232).

The spelling of 111313003121 in words is "one hundred eleven billion, three hundred thirteen million, three thousand, one hundred twenty-one".