313103313 has 14 divisors (see below), whose sum is σ = 469441314. Its totient is φ = 208735056.

The previous prime is 313103311. The next prime is 313103327. The reversal of 313103313 is 313301313.

It can be written as a sum of positive squares in only one way, i.e., 288422289 + 24681024 = 16983^2 + 4968^2 .

It is not a de Polignac number, because 313103313 - 2¹ = 313103311 is a prime.

It is a super-2 number, since 2×313103313² = 196067369223151938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313103311) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 214020 + ... + 215477.

Almost surely, 2^313103313 is an apocalyptic number.

It is an amenable number.

313103313 is a deficient number, since it is larger than the sum of its proper divisors (156338001).

313103313 is an frugal number, since it uses more digits than its factorization.

313103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429515 (or 429500 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 313103313 is about 17694.7255700675. The cubic root of 313103313 is about 679.0408283315.

Adding to 313103313 its reverse (313301313), we get a palindrome (626404626).

The spelling of 313103313 in words is "three hundred thirteen million, one hundred three thousand, three hundred thirteen".