1303100313 has 16 divisors (see below), whose sum is σ = 1829889600. Its totient is φ = 822571200.

The previous prime is 1303100273. The next prime is 1303100317. The reversal of 1303100313 is 3130013031.

It is not a de Polignac number, because 1303100313 - 2⁹ = 1303099801 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1303100292 and 1303100301.

It is not an unprimeable number, because it can be changed into a prime (1303100317) 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 15 ways as a sum of consecutive naturals, for example, 126663 + ... + 136563.

It is an arithmetic number, because the mean of its divisors is an integer number (114368100).

Almost surely, 2^1303100313 is an apocalyptic number.

It is an amenable number.

1303100313 is a deficient number, since it is larger than the sum of its proper divisors (526789287).

1303100313 is a wasteful number, since it uses less digits than its factorization.

1303100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12232.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1303100313 is about 36098.4807575056. The cubic root of 1303100313 is about 1092.2597992802.

Adding to 1303100313 its reverse (3130013031), we get a palindrome (4433113344).

The spelling of 1303100313 in words is "one billion, three hundred three million, one hundred thousand, three hundred thirteen".