1303305312 has 48 divisors (see below), whose sum is σ = 3423721392. Its totient is φ = 434112000.

The previous prime is 1303305307. The next prime is 1303305329. The reversal of 1303305312 is 2135033031.

1303305312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149062 + ... + 157562.

It is an arithmetic number, because the mean of its divisors is an integer number (71327529).

Almost surely, 2^1303305312 is an apocalyptic number.

1303305312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1303305312 is an abundant number, since it is smaller than the sum of its proper divisors (2120416080).

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

1303305312 is a wasteful number, since it uses less digits than its factorization.

1303305312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 1303305312 is about 36101.3200866672. The cubic root of 1303305312 is about 1092.3170730561.

Adding to 1303305312 its reverse (2135033031), we get a palindrome (3438338343).

It can be divided in two parts, 13033053 and 12, that added together give a triangular number (13033065 = T₅₁₀₅).

The spelling of 1303305312 in words is "one billion, three hundred three million, three hundred five thousand, three hundred twelve".