10312241321004 has 96 divisors (see below), whose sum is σ = 28256007897600. Its totient is φ = 2865355886592.

The previous prime is 10312241320991. The next prime is 10312241321021. The reversal of 10312241321004 is 40012314221301.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5733324 + ... + 7314060.

It is an arithmetic number, because the mean of its divisors is an integer number (294333415600).

Almost surely, 2^{10312241321004} is an apocalyptic number.

10312241321004 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 10312241321004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128003948800).

10312241321004 is an abundant number, since it is smaller than the sum of its proper divisors (17943766576596).

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

10312241321004 is a wasteful number, since it uses less digits than its factorization.

10312241321004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582887 (or 1582885 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10312241321004 its reverse (40012314221301), we get a palindrome (50324555542305).

The spelling of 10312241321004 in words is "ten trillion, three hundred twelve billion, two hundred forty-one million, three hundred twenty-one thousand, four".