1320403141000 has 128 divisors (see below), whose sum is σ = 3282825218400. Its totient is φ = 497091097600.

The previous prime is 1320403140971. The next prime is 1320403141007. The reversal of 1320403141000 is 1413040231.

It can be written as a sum of positive squares in 16 ways, for example, as 342784488484 + 977618652516 = 585478^2 + 988746^2 .

It is not an unprimeable number, because it can be changed into a prime (1320403141007) 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, 4778622 + ... + 5047378.

Almost surely, 2^{1320403141000} is an apocalyptic number.

1320403141000 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 1320403141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641412609200).

1320403141000 is an abundant number, since it is smaller than the sum of its proper divisors (1962422077400).

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

1320403141000 is an equidigital number, since it uses as much as digits as its factorization.

1320403141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268829 (or 268781 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1320403141000 its reverse (1413040231), we get a palindrome (1321816181231).

The spelling of 1320403141000 in words is "one trillion, three hundred twenty billion, four hundred three million, one hundred forty-one thousand".