10031103320000 has 280 divisors, whose sum is σ = 28851628823424. Its totient is φ = 3387897216000.

The previous prime is 10031103319997. The next prime is 10031103320027. The reversal of 10031103320000 is 2330113001.

10031103320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18492647 + ... + 19027353.

Almost surely, 2^{10031103320000} is an apocalyptic number.

10031103320000 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 10031103320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14425814411712).

10031103320000 is an abundant number, since it is smaller than the sum of its proper divisors (18820525503424).

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

10031103320000 is an frugal number, since it uses more digits than its factorization.

10031103320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534813 (or 534788 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10031103320000 its reverse (2330113001), we get a palindrome (10033433433001).

The spelling of 10031103320000 in words is "ten trillion, thirty-one billion, one hundred three million, three hundred twenty thousand".