103311 has 12 divisors (see below), whose sum is σ = 160888. Its totient is φ = 63504.

The previous prime is 103307. The next prime is 103319. The reversal of 103311 is 113301.

It is not a de Polignac number, because 103311 - 2² = 103307 is a prime.

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

103311 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 103293 and 103302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325 + ... + 558.

2¹⁰³³¹¹ is an apocalyptic number.

103311 is a deficient number, since it is larger than the sum of its proper divisors (57577).

103311 is a wasteful number, since it uses less digits than its factorization.

103311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 899 counting only the distinct ones).

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

The square root of 103311 is about 321.4202856075. The cubic root of 103311 is about 46.9226129544.

Adding to 103311 its reverse (113301), we get a palindrome (216612).

It can be divided in two parts, 103 and 311, that added together give a palindrome (414).

The spelling of 103311 in words is "one hundred three thousand, three hundred eleven", and thus it is an iban number.