1303113301 has 24 divisors (see below), whose sum is σ = 1532239800. Its totient is φ = 1104969600.

The previous prime is 1303113283. The next prime is 1303113337. The reversal of 1303113301 is 1033113031.

It can be written as a sum of positive squares in 4 ways, for example, as 43573201 + 1259540100 = 6601^2 + 35490^2 .

It is not a de Polignac number, because 1303113301 - 2¹⁵ = 1303080533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303113341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095071 + ... + 3095491.

It is an arithmetic number, because the mean of its divisors is an integer number (63843325).

Almost surely, 2^1303113301 is an apocalyptic number.

It is an amenable number.

1303113301 is a deficient number, since it is larger than the sum of its proper divisors (229126499).

1303113301 is a wasteful number, since it uses less digits than its factorization.

1303113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1303113301 is about 36098.6606538248. The cubic root of 1303113301 is about 1092.2634281191.

Adding to 1303113301 its reverse (1033113031), we get a palindrome (2336226332).

The spelling of 1303113301 in words is "one billion, three hundred three million, one hundred thirteen thousand, three hundred one".