1331311022000 has 80 divisors (see below), whose sum is σ = 3223868293152. Its totient is φ = 531737273600.

The previous prime is 1331311021993. The next prime is 1331311022029. The reversal of 1331311022000 is 2201131331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1331311022000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862379 + ... + 1845621.

Almost surely, 2^{1331311022000} is an apocalyptic number.

1331311022000 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 1331311022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611934146576).

1331311022000 is an abundant number, since it is smaller than the sum of its proper divisors (1892557271152).

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

1331311022000 is an equidigital number, since it uses as much as digits as its factorization.

1331311022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983943 (or 983927 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1331311022000 its reverse (2201131331), we get a palindrome (1333512153331).

The spelling of 1331311022000 in words is "one trillion, three hundred thirty-one billion, three hundred eleven million, twenty-two thousand".