313012000 has 144 divisors (see below), whose sum is σ = 895193208. Its totient is φ = 107251200.

The previous prime is 313011961. The next prime is 313012001. The reversal of 313012000 is 210313.

It can be written as a sum of positive squares in 4 ways, for example, as 50183056 + 262828944 = 7084^2 + 16212^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (313012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195202 + ... + 196798.

Almost surely, 2^313012000 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 313012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447596604).

313012000 is an abundant number, since it is smaller than the sum of its proper divisors (582181208).

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

313012000 is a wasteful number, since it uses less digits than its factorization.

313012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 313012000 is about 17692.1451497550. The cubic root of 313012000 is about 678.9748104164.

Adding to 313012000 its reverse (210313), we get a palindrome (313222313).

The spelling of 313012000 in words is "three hundred thirteen million, twelve thousand".