313100 has 36 divisors (see below), whose sum is σ = 708288. Its totient is φ = 120000.

The previous prime is 313087. The next prime is 313109. The reversal of 313100 is 1313.

It is a super-2 number, since 2×313100² = 196063220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313109) by changing a digit.

313100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3050 + ... + 3150.

2³¹³¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354144).

313100 is an abundant number, since it is smaller than the sum of its proper divisors (395188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313100 is a wasteful number, since it uses less digits than its factorization.

313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 313100 is about 559.5533933415. The cubic root of 313100 is about 67.9038433307.

Adding to 313100 its reverse (1313), we get a palindrome (314413).

It can be divided in two parts, 31 and 3100, that multiplied together give a square (96100 = 310²).

The spelling of 313100 in words is "three hundred thirteen thousand, one hundred".