313233000 has 128 divisors (see below), whose sum is σ = 983473920. Its totient is φ = 83001600.

The previous prime is 313232971. The next prime is 313233023. The reversal of 313233000 is 332313.

It is a super-2 number, since 2×313233000² = 196229824578000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788802 + ... + 789198.

It is an arithmetic number, because the mean of its divisors is an integer number (7683390).

Almost surely, 2^313233000 is an apocalyptic number.

313233000 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 313233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491736960).

313233000 is an abundant number, since it is smaller than the sum of its proper divisors (670240920).

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

313233000 is a wasteful number, since it uses less digits than its factorization.

313233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 313233000 is about 17698.3897572632. The cubic root of 313233000 is about 679.1345680105.

Adding to 313233000 its reverse (332313), we get a palindrome (313565313).

The spelling of 313233000 in words is "three hundred thirteen million, two hundred thirty-three thousand".