442431100110313 has 24 divisors (see below), whose sum is σ = 468144151043328. Its totient is φ = 418066736950368.

The previous prime is 442431100110277. The next prime is 442431100110343. The reversal of 442431100110313 is 313011001134244.

It is a de Polignac number, because none of the positive numbers 2^k-442431100110313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442431100110343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3012879870 + ... + 3013026712.

It is an arithmetic number, because the mean of its divisors is an integer number (19506006293472).

Almost surely, 2^{442431100110313} is an apocalyptic number.

It is an amenable number.

442431100110313 is a deficient number, since it is larger than the sum of its proper divisors (25713050933015).

442431100110313 is a wasteful number, since it uses less digits than its factorization.

442431100110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168301 (or 168282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 442431100110313 its reverse (313011001134244), we get a palindrome (755442101244557).

The spelling of 442431100110313 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, one hundred ten thousand, three hundred thirteen".