3131111133 has 14 divisors (see below), whose sum is σ = 4694520254. Its totient is φ = 2087406936.

The previous prime is 3131111101. The next prime is 3131111149. The reversal of 3131111133 is 3311111313.

It can be written as a sum of positive squares in only one way, i.e., 1794623769 + 1336487364 = 42363^2 + 36558^2 .

It is not a de Polignac number, because 3131111133 - 2⁵ = 3131111101 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131111183) 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 13 ways as a sum of consecutive naturals, for example, 2146810 + ... + 2148267.

Almost surely, 2^3131111133 is an apocalyptic number.

It is an amenable number.

3131111133 is a deficient number, since it is larger than the sum of its proper divisors (1563409121).

3131111133 is an frugal number, since it uses more digits than its factorization.

3131111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295095 (or 4295080 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 3131111133 is about 55956.3323762378. The cubic root of 3131111133 is about 1462.9612651549.

Adding to 3131111133 its reverse (3311111313), we get a palindrome (6442222446).

The spelling of 3131111133 in words is "three billion, one hundred thirty-one million, one hundred eleven thousand, one hundred thirty-three".