313101 has 12 divisors (see below), whose sum is σ = 476320. Its totient is φ = 197640.

The previous prime is 313087. The next prime is 313109. The reversal of 313101 is 101313.

It is not a de Polignac number, because 313101 - 2⁶ = 313037 is a prime.

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

It is a Duffinian number.

313101 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313101.

It is not an unprimeable number, because it can be changed into a prime (313109) 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, 745 + ... + 1086.

2³¹³¹⁰¹ is an apocalyptic number.

It is an amenable number.

313101 is a deficient number, since it is larger than the sum of its proper divisors (163219).

313101 is a wasteful number, since it uses less digits than its factorization.

313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1853 counting only the distinct ones).

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

The square root of 313101 is about 559.5542869106. The cubic root of 313101 is about 67.9039156226.

Adding to 313101 its reverse (101313), we get a palindrome (414414).

It can be divided in two parts, 313 and 101, that multiplied together give a palindrome (31613).

The spelling of 313101 in words is "three hundred thirteen thousand, one hundred one".