313041656601 has 12 divisors (see below), whose sum is σ = 452178897300. Its totient is φ = 208690922880.

The previous prime is 313041656591. The next prime is 313041656621. The reversal of 313041656601 is 106656140313.

313041656601 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 41 + 6 + 5 + 6 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 244594539225 + 68447117376 = 494565^2 + 261624^2 .

It is not a de Polignac number, because 313041656601 - 2⁵ = 313041656569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313041656621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344061 + ... + 862821.

It is an arithmetic number, because the mean of its divisors is an integer number (37681574775).

Almost surely, 2^313041656601 is an apocalyptic number.

It is an amenable number.

313041656601 is a deficient number, since it is larger than the sum of its proper divisors (139137240699).

313041656601 is a wasteful number, since it uses less digits than its factorization.

313041656601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585816 (or 585813 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 313041656601 its reverse (106656140313), we get a palindrome (419697796914).

The spelling of 313041656601 in words is "three hundred thirteen billion, forty-one million, six hundred fifty-six thousand, six hundred one".