10313442200 has 96 divisors (see below), whose sum is σ = 24374846160. Its totient is φ = 4057804800.

The previous prime is 10313442187. The next prime is 10313442233. The reversal of 10313442200 is 224431301.

10313442200 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 (20).

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 23 ways as a sum of consecutive naturals, for example, 3094535 + ... + 3097865.

Almost surely, 2^10313442200 is an apocalyptic number.

10313442200 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 10313442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187423080).

10313442200 is an abundant number, since it is smaller than the sum of its proper divisors (14061403960).

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

10313442200 is a wasteful number, since it uses less digits than its factorization.

10313442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10313442200 its reverse (224431301), we get a palindrome (10537873501).

The spelling of 10313442200 in words is "ten billion, three hundred thirteen million, four hundred forty-two thousand, two hundred".