313323220312101 has 8 divisors (see below), whose sum is σ = 464182548610560. Its totient is φ = 208882146874716.

The previous prime is 313323220312093. The next prime is 313323220312169. The reversal of 313323220312101 is 101213022323313.

313323220312101 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 23 + 220 + 312 + 101 = 666.

It is not a de Polignac number, because 313323220312101 - 2³ = 313323220312093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11604563715263 = 313323220312101 / (3 + 1 + 3 + 3 + 2 + 3 + 2 + 2 + 0 + 3 + 1 + 2 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313323220312001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5802281857605 + ... + 5802281857658.

It is an arithmetic number, because the mean of its divisors is an integer number (58022818576320).

Almost surely, 2^{313323220312101} is an apocalyptic number.

It is an amenable number.

313323220312101 is a deficient number, since it is larger than the sum of its proper divisors (150859328298459).

313323220312101 is a wasteful number, since it uses less digits than its factorization.

313323220312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11604563715272 (or 11604563715266 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 313323220312101 its reverse (101213022323313), we get a palindrome (414536242635414).

The spelling of 313323220312101 in words is "three hundred thirteen trillion, three hundred twenty-three billion, two hundred twenty million, three hundred twelve thousand, one hundred one".