313112313201441 has 16 divisors (see below), whose sum is σ = 449599452116864. Its totient is φ = 192683521384704.

The previous prime is 313112313201397. The next prime is 313112313201449. The reversal of 313112313201441 is 144102313211313.

It is a happy number.

It is not a de Polignac number, because 313112313201441 - 2¹⁷ = 313112313070369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313112313201399 and 313112313201408.

It is not an unprimeable number, because it can be changed into a prime (313112313201449) 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 15 ways as a sum of consecutive naturals, for example, 12585016 + ... + 28010841.

It is an arithmetic number, because the mean of its divisors is an integer number (28099965757304).

Almost surely, 2^{313112313201441} is an apocalyptic number.

It is an amenable number.

313112313201441 is a deficient number, since it is larger than the sum of its proper divisors (136487138915423).

313112313201441 is a wasteful number, since it uses less digits than its factorization.

313112313201441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40793640.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 313112313201441 its reverse (144102313211313), we get a palindrome (457214626412754).

The spelling of 313112313201441 in words is "three hundred thirteen trillion, one hundred twelve billion, three hundred thirteen million, two hundred one thousand, four hundred forty-one".