10011331001200 has 120 divisors (see below), whose sum is σ = 25468886047680. Its totient is φ = 3768701337600.

The previous prime is 10011331001179. The next prime is 10011331001249. The reversal of 10011331001200 is 210013311001.

It is a congruent 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, 112352665 + ... + 112441735.

It is an arithmetic number, because the mean of its divisors is an integer number (212240717064).

Almost surely, 2^{10011331001200} is an apocalyptic number.

10011331001200 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 10011331001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734443023840).

10011331001200 is an abundant number, since it is smaller than the sum of its proper divisors (15457555046480).

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

10011331001200 is a wasteful number, since it uses less digits than its factorization.

10011331001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105635 (or 105624 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10011331001200 its reverse (210013311001), we get a palindrome (10221344312201).

The spelling of 10011331001200 in words is "ten trillion, eleven billion, three hundred thirty-one million, one thousand, two hundred".