10313443200 has 192 divisors, whose sum is σ = 35758425600. Its totient is φ = 2605455360.

The previous prime is 10313443163. The next prime is 10313443201. The reversal of 10313443200 is 234431301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10313443200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313443201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154129 + ... + 210671.

It is an arithmetic number, because the mean of its divisors is an integer number (186241800).

Almost surely, 2^10313443200 is an apocalyptic number.

10313443200 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 10313443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17879212800).

10313443200 is an abundant number, since it is smaller than the sum of its proper divisors (25444982400).

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

10313443200 is a wasteful number, since it uses less digits than its factorization.

10313443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56589 (or 56572 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10313443200 its reverse (234431301), we get a palindrome (10547874501).

The spelling of 10313443200 in words is "ten billion, three hundred thirteen million, four hundred forty-three thousand, two hundred".