313130000 has 100 divisors (see below), whose sum is σ = 766713948. Its totient is φ = 123840000.

The previous prime is 313129969. The next prime is 313130003. The reversal of 313130000 is 31313.

It can be written as a sum of positive squares in 10 ways, for example, as 265298944 + 47831056 = 16288^2 + 6916^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (313130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1729910 + ... + 1730090.

Almost surely, 2^313130000 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 313130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383356974).

313130000 is an abundant number, since it is smaller than the sum of its proper divisors (453583948).

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

313130000 is a wasteful number, since it uses less digits than its factorization.

313130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 313130000 is about 17695.4796487691. The cubic root of 313130000 is about 679.0601202042.

Adding to 313130000 its reverse (31313), we get a palindrome (313161313).

Multiplying 313130000 by its reverse (31313), we get a square (9805039690000 = 3131300²).

313130000 divided by its reverse (31313) gives a 4-th power (10000 = 10⁴).

The spelling of 313130000 in words is "three hundred thirteen million, one hundred thirty thousand".