10331131200000 has 960 divisors, whose sum is σ = 39230817816960. Its totient is φ = 2393210880000.

The previous prime is 10331131199911. The next prime is 10331131200041. The reversal of 10331131200000 is 213113301.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10331131200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1060795131 + ... + 1060804869.

It is an arithmetic number, because the mean of its divisors is an integer number (40865435226).

Almost surely, 2^{10331131200000} is an apocalyptic number.

10331131200000 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 10331131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615408908480).

10331131200000 is an abundant number, since it is smaller than the sum of its proper divisors (28899686616960).

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

10331131200000 is an frugal number, since it uses more digits than its factorization.

10331131200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10331131200000 its reverse (213113301), we get a palindrome (10331344313301).

The spelling of 10331131200000 in words is "ten trillion, three hundred thirty-one billion, one hundred thirty-one million, two hundred thousand".