313312123302133 has 8 divisors (see below), whose sum is σ = 316099421471448. Its totient is φ = 310525081703424.

The previous prime is 313312123302107. The next prime is 313312123302173. The reversal of 313312123302133 is 331203321213313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44378953033009 + 268933170269124 = 6661753^2 + 16399182^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313312123302133 - 2³⁷ = 313174684348661 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313312123302095 and 313312123302104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313312123302103) 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, 61689066 + ... + 66574507.

It is an arithmetic number, because the mean of its divisors is an integer number (39512427683931).

Almost surely, 2^{313312123302133} is an apocalyptic number.

It is an amenable number.

313312123302133 is a deficient number, since it is larger than the sum of its proper divisors (2787298169315).

313312123302133 is a wasteful number, since it uses less digits than its factorization.

313312123302133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128285303.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 313312123302133 its reverse (331203321213313), we get a palindrome (644515444515446).

The spelling of 313312123302133 in words is "three hundred thirteen trillion, three hundred twelve billion, one hundred twenty-three million, three hundred two thousand, one hundred thirty-three".