313133301 has 12 divisors (see below), whose sum is σ = 487096428. Its totient is φ = 192697344.

The previous prime is 313133299. The next prime is 313133309. The reversal of 313133301 is 103331313.

It can be written as a sum of positive squares in 2 ways, for example, as 58890276 + 254243025 = 7674^2 + 15945^2 .

It is not a de Polignac number, because 313133301 - 2¹ = 313133299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313133309) 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 11 ways as a sum of consecutive naturals, for example, 1338060 + ... + 1338293.

It is an arithmetic number, because the mean of its divisors is an integer number (40591369).

Almost surely, 2^313133301 is an apocalyptic number.

It is an amenable number.

313133301 is a deficient number, since it is larger than the sum of its proper divisors (173963127).

313133301 is a wasteful number, since it uses less digits than its factorization.

313133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676372 (or 2676369 counting only the distinct ones).

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

The square root of 313133301 is about 17695.5729209314. The cubic root of 313133301 is about 679.0625064012.

Adding to 313133301 its reverse (103331313), we get a palindrome (416464614).

The spelling of 313133301 in words is "three hundred thirteen million, one hundred thirty-three thousand, three hundred one".