10013223200 has 144 divisors (see below), whose sum is σ = 25650858240. Its totient is φ = 3811968000.

The previous prime is 10013223191. The next prime is 10013223257. The reversal of 10013223200 is 232231001.

It is a happy 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, 1509491 + ... + 1516109.

It is an arithmetic number, because the mean of its divisors is an integer number (178130960).

Almost surely, 2^10013223200 is an apocalyptic number.

10013223200 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 10013223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825429120).

10013223200 is an abundant number, since it is smaller than the sum of its proper divisors (15637635040).

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

10013223200 is a wasteful number, since it uses less digits than its factorization.

10013223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10013223200 its reverse (232231001), we get a palindrome (10245454201).

The spelling of 10013223200 in words is "ten billion, thirteen million, two hundred twenty-three thousand, two hundred".