303220313 has 12 divisors (see below), whose sum is σ = 352899540. Its totient is φ = 259438080.

The previous prime is 303220303. The next prime is 303220321. The reversal of 303220313 is 313022303.

It can be written as a sum of positive squares in 2 ways, for example, as 234794329 + 68425984 = 15323^2 + 8272^2 .

It is not a de Polignac number, because 303220313 - 2¹² = 303216217 is a prime.

It is a super-3 number, since 3×303220313³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 303220291 and 303220300.

It is not an unprimeable number, because it can be changed into a prime (303220303) 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, 71648 + ... + 75761.

It is an arithmetic number, because the mean of its divisors is an integer number (29408295).

Almost surely, 2^303220313 is an apocalyptic number.

It is an amenable number.

303220313 is a deficient number, since it is larger than the sum of its proper divisors (49679227).

303220313 is a wasteful number, since it uses less digits than its factorization.

303220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147448 (or 147437 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 303220313 is about 17413.2223611829. Note that the first 3 decimals coincide. The cubic root of 303220313 is about 671.8197452393.

Adding to 303220313 its reverse (313022303), we get a palindrome (616242616).

The spelling of 303220313 in words is "three hundred three million, two hundred twenty thousand, three hundred thirteen".