1303968033 has 12 divisors (see below), whose sum is σ = 1885389220. Its totient is φ = 868444416.

The previous prime is 1303968011. The next prime is 1303968091. The reversal of 1303968033 is 3308693031.

1303968033 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 154554624 + 1149413409 = 12432^2 + 33903^2 .

It is not a de Polignac number, because 1303968033 - 2⁶ = 1303967969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303961033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62716 + ... + 80877.

Almost surely, 2^1303968033 is an apocalyptic number.

It is an amenable number.

1303968033 is a deficient number, since it is larger than the sum of its proper divisors (581421187).

1303968033 is a wasteful number, since it uses less digits than its factorization.

1303968033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144608 (or 144605 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1303968033 is about 36110.4975457276. The cubic root of 1303968033 is about 1092.5021867031.

The spelling of 1303968033 in words is "one billion, three hundred three million, nine hundred sixty-eight thousand, thirty-three".