331131 has 8 divisors (see below), whose sum is σ = 460800. Its totient is φ = 211112.

The previous prime is 331127. The next prime is 331141. The reversal of 331131 is 131133.

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

It is a cyclic number.

It is not a de Polignac number, because 331131 - 2² = 331127 is a prime.

It is a super-2 number, since 2×331131² = 219295478322, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331131.

It is not an unprimeable number, because it can be changed into a prime (331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2331 + ... + 2468.

It is an arithmetic number, because the mean of its divisors is an integer number (57600).

2³³¹¹³¹ is an apocalyptic number.

331131 is a deficient number, since it is larger than the sum of its proper divisors (129669).

331131 is a wasteful number, since it uses less digits than its factorization.

331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825.

The product of its digits is 27, while the sum is 12.

The square root of 331131 is about 575.4398317809. The cubic root of 331131 is about 69.1830886315.

Adding to 331131 its reverse (131133), we get a palindrome (462264).

The spelling of 331131 in words is "three hundred thirty-one thousand, one hundred thirty-one".