313431013221121 has 4 divisors (see below), whose sum is σ = 317724588744772. Its totient is φ = 309137437697472.

The previous prime is 313431013221047. The next prime is 313431013221203. The reversal of 313431013221121 is 121122310134313.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 104318850595600 + 209112162625521 = 10213660^2 + 14460711^2 .

It is a cyclic number.

It is not a de Polignac number, because 313431013221121 - 2⁷ = 313431013220993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313431013221121.

It is not an unprimeable number, because it can be changed into a prime (313431013228121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2146787761716 + ... + 2146787761861.

It is an arithmetic number, because the mean of its divisors is an integer number (79431147186193).

Almost surely, 2^{313431013221121} is an apocalyptic number.

It is an amenable number.

313431013221121 is a deficient number, since it is larger than the sum of its proper divisors (4293575523651).

313431013221121 is an equidigital number, since it uses as much as digits as its factorization.

313431013221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293575523650.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 313431013221121 its reverse (121122310134313), we get a palindrome (434553323355434).

The spelling of 313431013221121 in words is "three hundred thirteen trillion, four hundred thirty-one billion, thirteen million, two hundred twenty-one thousand, one hundred twenty-one".