1303040000 has 130 divisors (see below), whose sum is σ = 3262557210. Its totient is φ = 520192000.

The previous prime is 1303039973. The next prime is 1303040003. The reversal of 1303040000 is 403031.

It can be written as a sum of positive squares in 5 ways, for example, as 307511296 + 995528704 = 17536^2 + 31552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559746 + ... + 2560254.

Almost surely, 2^1303040000 is an apocalyptic number.

1303040000 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 1303040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631278605).

1303040000 is an abundant number, since it is smaller than the sum of its proper divisors (1959517210).

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

1303040000 is an frugal number, since it uses more digits than its factorization.

1303040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1303040000 is about 36097.6453525711. The cubic root of 1303040000 is about 1092.2429475508.

Adding to 1303040000 its reverse (403031), we get a palindrome (1303443031).

The spelling of 1303040000 in words is "one billion, three hundred three million, forty thousand".