1031331311120 has 160 divisors (see below), whose sum is σ = 2629494451584. Its totient is φ = 373073817600.

The previous prime is 1031331311077. The next prime is 1031331311159. The reversal of 1031331311120 is 211131331301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1031331311092 and 1031331311101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347131235 + ... + 347134205.

Almost surely, 2^{1031331311120} is an apocalyptic number.

1031331311120 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 1031331311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314747225792).

1031331311120 is an abundant number, since it is smaller than the sum of its proper divisors (1598163140464).

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

1031331311120 is a wasteful number, since it uses less digits than its factorization.

1031331311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1031331311120 its reverse (211131331301), we get a palindrome (1242462642421).

The spelling of 1031331311120 in words is "one trillion, thirty-one billion, three hundred thirty-one million, three hundred eleven thousand, one hundred twenty".