313134441 has 64 divisors (see below), whose sum is σ = 482236416. Its totient is φ = 179712000.

The previous prime is 313134427. The next prime is 313134463. The reversal of 313134441 is 144431313.

It is not a de Polignac number, because 313134441 - 2¹³ = 313126249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313134641) 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 63 ways as a sum of consecutive naturals, for example, 3100291 + ... + 3100391.

It is an arithmetic number, because the mean of its divisors is an integer number (7534944).

Almost surely, 2^313134441 is an apocalyptic number.

313134441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313134441 is a deficient number, since it is larger than the sum of its proper divisors (169101975).

313134441 is a wasteful number, since it uses less digits than its factorization.

313134441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its digits is 1728, while the sum is 24.

The square root of 313134441 is about 17695.6051323485. The cubic root of 313134441 is about 679.0633304701.

Adding to 313134441 its reverse (144431313), we get a palindrome (457565754).

The spelling of 313134441 in words is "three hundred thirteen million, one hundred thirty-four thousand, four hundred forty-one".