313030000 has 100 divisors (see below), whose sum is σ = 791409168. Its totient is φ = 119680000.

The previous prime is 313029991. The next prime is 313030021. The reversal of 313030000 is 30313.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

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, 229320 + ... + 230680.

Almost surely, 2^313030000 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 313030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395704584).

313030000 is an abundant number, since it is smaller than the sum of its proper divisors (478379168).

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

313030000 is a wasteful number, since it uses less digits than its factorization.

313030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 313030000 is about 17692.6538427676. The cubic root of 313030000 is about 678.9878251595.

Adding to 313030000 its reverse (30313), we get a palindrome (313060313).

The spelling of 313030000 in words is "three hundred thirteen million, thirty thousand".