313121002122133 has 8 divisors (see below), whose sum is σ = 314369543629656. Its totient is φ = 311873412614400.

The previous prime is 313121002122121. The next prime is 313121002122167. The reversal of 313121002122133 is 331221200121313.

It can be written as a sum of positive squares in 4 ways, for example, as 12225421341169 + 300895580780964 = 3496487^2 + 17346342^2 .

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 313121002122133 - 2²¹ = 313121000024981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313121002122098 and 313121002122107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313121002122193) 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, 237340816 + ... + 238656457.

It is an arithmetic number, because the mean of its divisors is an integer number (39296192953707).

Almost surely, 2^{313121002122133} is an apocalyptic number.

It is an amenable number.

313121002122133 is a deficient number, since it is larger than the sum of its proper divisors (1248541507523).

313121002122133 is a wasteful number, since it uses less digits than its factorization.

313121002122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475999895.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 313121002122133 its reverse (331221200121313), we get a palindrome (644342202243446).

The spelling of 313121002122133 in words is "three hundred thirteen trillion, one hundred twenty-one billion, two million, one hundred twenty-two thousand, one hundred thirty-three".