3133131 has 8 divisors (see below), whose sum is σ = 4321680. Its totient is φ = 2016672.

The previous prime is 3133111. The next prime is 3133153. The reversal of 3133131 is 1313313.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3133131 - 2¹⁴ = 3116747 is a prime.

It is a super-2 number, since 2×3133131² = 19633019726322, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

3133131 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3133131.

It is not an unprimeable number, because it can be changed into a prime (3133111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17920 + ... + 18093.

It is an arithmetic number, because the mean of its divisors is an integer number (540210).

Almost surely, 2^3133131 is an apocalyptic number.

3133131 is a deficient number, since it is larger than the sum of its proper divisors (1188549).

3133131 is a wasteful number, since it uses less digits than its factorization.

3133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36045.

The product of its digits is 81, while the sum is 15.

The square root of 3133131 is about 1770.0652530345. The cubic root of 3133131 is about 146.3275780979.

Adding to 3133131 its reverse (1313313), we get a palindrome (4446444).

The spelling of 3133131 in words is "three million, one hundred thirty-three thousand, one hundred thirty-one".