10001331200 has 528 divisors, whose sum is σ = 31068547200. Its totient is φ = 3179151360.

The previous prime is 10001331163. The next prime is 10001331211. The reversal of 10001331200 is 213310001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149273567 + ... + 149273633.

Almost surely, 2^10001331200 is an apocalyptic number.

10001331200 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 10001331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534273600).

10001331200 is an abundant number, since it is smaller than the sum of its proper divisors (21067216000).

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

10001331200 is an equidigital number, since it uses as much as digits as its factorization.

10001331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10001331200 its reverse (213310001), we get a palindrome (10214641201).

The spelling of 10001331200 in words is "ten billion, one million, three hundred thirty-one thousand, two hundred".