101331 has 14 divisors (see below), whose sum is σ = 153020. Its totient is φ = 67068.

The previous prime is 101323. The next prime is 101333. The reversal of 101331 is 133101.

It is not a de Polignac number, because 101331 - 2³ = 101323 is a prime.

It is a super-2 number, since 2×101331² = 20535943122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (101333) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 660 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (10930).

2¹⁰¹³³¹ is an apocalyptic number.

101331 is a deficient number, since it is larger than the sum of its proper divisors (51689).

101331 is an frugal number, since it uses more digits than its factorization.

101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 101331 is about 318.3253053089. The cubic root of 101331 is about 46.6209132064.

Adding to 101331 its reverse (133101), we get a palindrome (234432).

The spelling of 101331 in words is "one hundred one thousand, three hundred thirty-one".