2131 has 2 divisors, whose sum is σ = 2132. Its totient is φ = 2130.

The previous prime is 2129. The next prime is 2137. The reversal of 2131 is 1312.

2131 is nontrivially palindromic in base 13.

It is a m-pointer prime, because the next prime (2137) can be obtained adding 2131 to its product of digits (6).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2131 - 2^{1} = 2129 is a prime.

It is a super-2 number, since 2×2131^{2} = 9082322, which contains 22 as substring.

Together with 2129, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as **2**^{11} + **3**^{4} + **1** + **1** .

2131 is an undulating number in base 13.

It is a plaindrome in base 11.

It is a nialpdrome in base 15 and base 16.

It is not a weakly prime, because it can be changed into another prime (2137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065 + 1066.

It is an arithmetic number, because the mean of its divisors is an integer number (1066).

2^{2131} is an apocalyptic number.

2131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131 is an equidigital number, since it uses as much as digits as its factorization.

2131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6, while the sum is 7.

The square root of 2131 is about 46.1627555503. The cubic root of 2131 is about 12.8684967314.

Adding to 2131 its reverse (1312), we get a palindrome (3443).

It can be divided in two parts, 2 and 131, that multiplied together give a palindrome (262).

The spelling of 2131 in words is "two thousand, one hundred thirty-one".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •