313301133 has 6 divisors (see below), whose sum is σ = 452546094. Its totient is φ = 208867416.

The previous prime is 313301113. The next prime is 313301137. The reversal of 313301133 is 331103313.

It can be written as a sum of positive squares in only one way, i.e., 185995044 + 127306089 = 13638^2 + 11283^2 .

It is not a de Polignac number, because 313301133 - 2¹⁸ = 313038989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313301137) 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 5 ways as a sum of consecutive naturals, for example, 17405610 + ... + 17405627.

It is an arithmetic number, because the mean of its divisors is an integer number (75424349).

Almost surely, 2^313301133 is an apocalyptic number.

It is an amenable number.

313301133 is a deficient number, since it is larger than the sum of its proper divisors (139244961).

313301133 is a wasteful number, since it uses less digits than its factorization.

313301133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34811243 (or 34811240 counting only the distinct ones).

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

The square root of 313301133 is about 17700.3144887315. The cubic root of 313301133 is about 679.1838051822.

Adding to 313301133 its reverse (331103313), we get a palindrome (644404446).

The spelling of 313301133 in words is "three hundred thirteen million, three hundred one thousand, one hundred thirty-three".