311431304444441 has 32 divisors (see below), whose sum is σ = 333893281628160. Its totient is φ = 289963456473600.

The previous prime is 311431304444413. The next prime is 311431304444459. The reversal of 311431304444441 is 144444403134113.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311431304444441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311431304444411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4649791145 + ... + 4649858121.

It is an arithmetic number, because the mean of its divisors is an integer number (10434165050880).

Almost surely, 2^{311431304444441} is an apocalyptic number.

311431304444441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

311431304444441 is a deficient number, since it is larger than the sum of its proper divisors (22461977183719).

311431304444441 is a wasteful number, since it uses less digits than its factorization.

311431304444441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121205.

The product of its (nonzero) digits is 442368, while the sum is 41.

Adding to 311431304444441 its reverse (144444403134113), we get a palindrome (455875707578554).

The spelling of 311431304444441 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred four million, four hundred forty-four thousand, four hundred forty-one".