1303313000 has 128 divisors (see below), whose sum is σ = 3360614400. Its totient is φ = 469152000.

The previous prime is 1303312993. The next prime is 1303313003. The reversal of 1303313000 is 3133031.

It is not an unprimeable number, because it can be changed into a prime (1303313003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198457 + ... + 1199543.

It is an arithmetic number, because the mean of its divisors is an integer number (26254800).

Almost surely, 2^1303313000 is an apocalyptic number.

1303313000 is a gapful number since it is divisible by the number (10) 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 1303313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680307200).

1303313000 is an abundant number, since it is smaller than the sum of its proper divisors (2057301400).

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

1303313000 is a wasteful number, since it uses less digits than its factorization.

1303313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 1303313000 is about 36101.4265646110. The cubic root of 1303313000 is about 1092.3192208560.

Adding to 1303313000 its reverse (3133031), we get a palindrome (1306446031).

It can be divided in two parts, 130331 and 3000, that added together give a palindrome (133331).

The spelling of 1303313000 in words is "one billion, three hundred three million, three hundred thirteen thousand".