1331205240000 has 560 divisors, whose sum is σ = 4606329977568. Its totient is φ = 338817024000.

The previous prime is 1331205239999. The next prime is 1331205240007. The reversal of 1331205240000 is 425021331.

It is not an unprimeable number, because it can be changed into a prime (1331205240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 235317172 + ... + 235322828.

Almost surely, 2^{1331205240000} is an apocalyptic number.

1331205240000 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 1331205240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303164988784).

1331205240000 is an abundant number, since it is smaller than the sum of its proper divisors (3275124737568).

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

1331205240000 is an equidigital number, since it uses as much as digits as its factorization.

1331205240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 1331205240000 in words is "one trillion, three hundred thirty-one billion, two hundred five million, two hundred forty thousand".