313321000 has 32 divisors (see below), whose sum is σ = 733173480. Its totient is φ = 125328000.

The previous prime is 313320991. The next prime is 313321003. The reversal of 313321000 is 123313.

It can be written as a sum of positive squares in 4 ways, for example, as 14791716 + 298529284 = 3846^2 + 17278^2 .

It is not an unprimeable number, because it can be changed into a prime (313321003) 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 7 ways as a sum of consecutive naturals, for example, 155661 + ... + 157660.

Almost surely, 2^313321000 is an apocalyptic number.

It is an amenable number.

313321000 is an abundant number, since it is smaller than the sum of its proper divisors (419852480).

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

313321000 is a wasteful number, since it uses less digits than its factorization.

313321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313342 (or 313328 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 313321000 is about 17700.8756845530. The cubic root of 313321000 is about 679.1981609761.

Adding to 313321000 its reverse (123313), we get a palindrome (313444313).

The spelling of 313321000 in words is "three hundred thirteen million, three hundred twenty-one thousand".