131101 has 2 divisors, whose sum is σ = 131102. Its totient is φ = 131100.

The previous prime is 131071. The next prime is 131111. The reversal of 131101 is 101131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 22201 = 330^2 + 149^2 .

It is a cyclic number.

It is not a de Polignac number, because 131101 - 2⁷ = 130973 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131111) 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, 65550 + 65551.

It is an arithmetic number, because the mean of its divisors is an integer number (65551).

2¹³¹¹⁰¹ is an apocalyptic number.

It is an amenable number.

131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131101 is an equidigital number, since it uses as much as digits as its factorization.

131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 131101 is about 362.0787207224. The cubic root of 131101 is about 50.8005796945.

Adding to 131101 its reverse (101131), we get a palindrome (232232).

It can be divided in two parts, 131 and 101, that multiplied together give a palindrome (13231).

The spelling of 131101 in words is "one hundred thirty-one thousand, one hundred one".