10313503200 has 1728 divisors, whose sum is σ = 51593697792. Its totient is φ = 1940889600.

The previous prime is 10313503199. The next prime is 10313503223. The reversal of 10313503200 is 230531301.

10313503200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 287 ways as a sum of consecutive naturals, for example, 194594374 + ... + 194594426.

It is an arithmetic number, because the mean of its divisors is an integer number (29857464).

Almost surely, 2^10313503200 is an apocalyptic number.

10313503200 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 10313503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25796848896).

10313503200 is an abundant number, since it is smaller than the sum of its proper divisors (41280194592).

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

10313503200 is a wasteful number, since it uses less digits than its factorization.

10313503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The spelling of 10313503200 in words is "ten billion, three hundred thirteen million, five hundred three thousand, two hundred".