1331031004000 has 192 divisors, whose sum is σ = 3380615626752. Its totient is φ = 514508736000.

The previous prime is 1331031003949. The next prime is 1331031004001. The reversal of 1331031004000 is 4001301331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331031004001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92124777 + ... + 92139223.

It is an arithmetic number, because the mean of its divisors is an integer number (17607373056).

Almost surely, 2^{1331031004000} is an apocalyptic number.

1331031004000 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 1331031004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690307813376).

1331031004000 is an abundant number, since it is smaller than the sum of its proper divisors (2049584622752).

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

1331031004000 is a wasteful number, since it uses less digits than its factorization.

1331031004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15246 (or 15228 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1331031004000 its reverse (4001301331), we get a palindrome (1335032305331).

The spelling of 1331031004000 in words is "one trillion, three hundred thirty-one billion, thirty-one million, four thousand".