10315316144 has 80 divisors (see below), whose sum is σ = 24534144000. Its totient is φ = 4188131136.

The previous prime is 10315316131. The next prime is 10315316159. The reversal of 10315316144 is 44161351301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54809 + ... + 153735.

It is an arithmetic number, because the mean of its divisors is an integer number (306676800).

Almost surely, 2^10315316144 is an apocalyptic number.

10315316144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315316144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267072000).

10315316144 is an abundant number, since it is smaller than the sum of its proper divisors (14218827856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10315316144 is an equidigital number, since it uses as much as digits as its factorization.

10315316144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98975 (or 98955 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 10315316144 its reverse (44161351301), we get a palindrome (54476667445).

The spelling of 10315316144 in words is "ten billion, three hundred fifteen million, three hundred sixteen thousand, one hundred forty-four".