1031 has 2 divisors, whose sum is σ = 1032. Its totient is φ = 1030.

The previous prime is 1021. The next prime is 1033. The reversal of 1031 is 1301.

1031 is nontrivially palindromic in base 11.

It is a strong prime.

It is an emirp because it is prime and its reverse (1301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031 - 2⁶ = 967 is a prime.

It is a super-2 number, since 2×1031² = 2125922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1033, it forms a pair of twin primes.

It is a Chen prime.

1031 is an undulating number in base 11.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515 + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (516).

2¹⁰³¹ is an apocalyptic number.

1031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031 is an equidigital number, since it uses as much as digits as its factorization.

1031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 1031 is about 32.1091887160. The cubic root of 1031 is about 10.1022835734.

Adding to 1031 its reverse (1301), we get a palindrome (2332).

The spelling of 1031 in words is "one thousand, thirty-one".