1031331120000 has 320 divisors, whose sum is σ = 3426890356560. Its totient is φ = 274728960000.

The previous prime is 1031331119933. The next prime is 1031331120013. The reversal of 1031331120000 is 211331301.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 317038374 + ... + 317041626.

Almost surely, 2^{1031331120000} is an apocalyptic number.

1031331120000 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 1031331120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713445178280).

1031331120000 is an abundant number, since it is smaller than the sum of its proper divisors (2395559236560).

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

1031331120000 is an equidigital number, since it uses as much as digits as its factorization.

1031331120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4584 counting only the distinct ones).

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

Adding to 1031331120000 its reverse (211331301), we get a palindrome (1031542451301).

The spelling of 1031331120000 in words is "one trillion, thirty-one billion, three hundred thirty-one million, one hundred twenty thousand".