10013457300 has 576 divisors, whose sum is σ = 39201490944. Its totient is φ = 1909555200.

The previous prime is 10013457287. The next prime is 10013457341. The reversal of 10013457300 is 375431001.

10013457300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 16885804 + ... + 16886396.

It is an arithmetic number, because the mean of its divisors is an integer number (68058144).

Almost surely, 2^10013457300 is an apocalyptic number.

10013457300 is a gapful number since it is divisible by the number (10) 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 10013457300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19600745472).

10013457300 is an abundant number, since it is smaller than the sum of its proper divisors (29188033644).

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

10013457300 is a wasteful number, since it uses less digits than its factorization.

10013457300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

Adding to 10013457300 its reverse (375431001), we get a palindrome (10388888301).

The spelling of 10013457300 in words is "ten billion, thirteen million, four hundred fifty-seven thousand, three hundred".