13113311121 has 6 divisors (see below), whose sum is σ = 18941449410. Its totient is φ = 8742207408.

The previous prime is 13113311119. The next prime is 13113311153. The reversal of 13113311121 is 12111331131.

13113311121 is a `hidden beast` number, since 1 + 311 + 331 + 1 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11377422225 + 1735888896 = 106665^2 + 41664^2 .

It is not a de Polignac number, because 13113311121 - 2¹ = 13113311119 is a prime.

It is a super-2 number, since 2×13113311121² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13113311094 and 13113311103.

It is not an unprimeable number, because it can be changed into a prime (13113311921) 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 5 ways as a sum of consecutive naturals, for example, 728517276 + ... + 728517293.

It is an arithmetic number, because the mean of its divisors is an integer number (3156908235).

Almost surely, 2^13113311121 is an apocalyptic number.

It is an amenable number.

13113311121 is a deficient number, since it is larger than the sum of its proper divisors (5828138289).

13113311121 is a wasteful number, since it uses less digits than its factorization.

13113311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457034575 (or 1457034572 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 13113311121 its reverse (12111331131), we get a palindrome (25224642252).

The spelling of 13113311121 in words is "thirteen billion, one hundred thirteen million, three hundred eleven thousand, one hundred twenty-one".