10306313472 has 216 divisors, whose sum is σ = 34364267616. Its totient is φ = 2718019584.

The previous prime is 10306313449. The next prime is 10306313491. The reversal of 10306313472 is 27431360301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478683 + ... + 499749.

Almost surely, 2^10306313472 is an apocalyptic number.

10306313472 is a gapful number since it is divisible by the number (12) 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 10306313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182133808).

10306313472 is an abundant number, since it is smaller than the sum of its proper divisors (24057954144).

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

10306313472 is a wasteful number, since it uses less digits than its factorization.

10306313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21113 (or 21092 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

Adding to 10306313472 its reverse (27431360301), we get a palindrome (37737673773).

The spelling of 10306313472 in words is "ten billion, three hundred six million, three hundred thirteen thousand, four hundred seventy-two".