313128000 has 168 divisors, whose sum is σ = 1120368600. Its totient is φ = 83481600.

The previous prime is 313127987. The next prime is 313128007. The reversal of 313128000 is 821313.

It can be written as a sum of positive squares in 4 ways, for example, as 80138304 + 232989696 = 8952^2 + 15264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313128007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69826 + ... + 74174.

Almost surely, 2^313128000 is an apocalyptic number.

313128000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560184300).

313128000 is an abundant number, since it is smaller than the sum of its proper divisors (807240600).

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

313128000 is a wasteful number, since it uses less digits than its factorization.

313128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 313128000 is about 17695.4231370713. The cubic root of 313128000 is about 679.0586744541.

Adding to 313128000 its reverse (821313), we get a palindrome (313949313).

The spelling of 313128000 in words is "three hundred thirteen million, one hundred twenty-eight thousand".