313230000 has 200 divisors, whose sum is σ = 1035456048. Its totient is φ = 81536000.

The previous prime is 313229999. The next prime is 313230007. The reversal of 313230000 is 32313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×313230000² = 196226065800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (313230007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1589902 + ... + 1590098.

Almost surely, 2^313230000 is an apocalyptic number.

313230000 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 313230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517728024).

313230000 is an abundant number, since it is smaller than the sum of its proper divisors (722226048).

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

313230000 is a wasteful number, since it uses less digits than its factorization.

313230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 313230000 is about 17698.3050035872. The cubic root of 313230000 is about 679.1323998586.

Adding to 313230000 its reverse (32313), we get a palindrome (313262313).

It can be divided in two parts, 3 and 13230000, that multiplied together give a square (39690000 = 6300²).

The spelling of 313230000 in words is "three hundred thirteen million, two hundred thirty thousand".