3131 has 4 divisors (see below), whose sum is σ = 3264. Its totient is φ = 3000.

The previous prime is 3121. The next prime is 3137. The reversal of 3131 is 1313.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1313 = 13 ⋅101.

It is a cyclic number.

It is not a de Polignac number, because 3131 - 2⁶ = 3067 is a prime.

It is a super-2 number, since 2×3131² = 19606322, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

3131 is an undulating number in base 10.

It is a plaindrome in base 6 and base 13.

It is a nialpdrome in base 15.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (3137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (816).

2³¹³¹ is an apocalyptic number.

3131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3131 is a deficient number, since it is larger than the sum of its proper divisors (133).

3131 is a wasteful number, since it uses less digits than its factorization.

3131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 9, while the sum is 8.

The square root of 3131 is about 55.9553393342. The cubic root of 3131 is about 14.6294395658.

Adding to 3131 its reverse (1313), we get a palindrome (4444).

It can be divided in two parts, 3 and 131, that multiplied together give a palindrome (393).

The spelling of 3131 in words is "three thousand, one hundred thirty-one".