1303000321 has 32 divisors (see below), whose sum is σ = 1546512128. Its totient is φ = 1074954240.

The previous prime is 1303000313. The next prime is 1303000331. The reversal of 1303000321 is 1230003031.

It is a 8-Lehmer number, since φ(1303000321) divides (1303000321-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 1303000321 - 2³ = 1303000313 is a prime.

It is a super-2 number, since 2×1303000321² = 3395619673052206082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1303000331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6751201 + ... + 6751393.

It is an arithmetic number, because the mean of its divisors is an integer number (48328504).

Almost surely, 2^1303000321 is an apocalyptic number.

It is an amenable number.

1303000321 is a deficient number, since it is larger than the sum of its proper divisors (243511807).

1303000321 is a wasteful number, since it uses less digits than its factorization.

1303000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1303000321 is about 36097.0957419015. The cubic root of 1303000321 is about 1092.2318607722.

Adding to 1303000321 its reverse (1230003031), we get a palindrome (2533003352).

The spelling of 1303000321 in words is "one billion, three hundred three million, three hundred twenty-one", and thus it is an aban number.