1331321414140 has 48 divisors (see below), whose sum is σ = 2824347363264. Its totient is φ = 527089536000.

The previous prime is 1331321414099. The next prime is 1331321414183. The reversal of 1331321414140 is 414141231331.

It is a junction number, because it is equal to n+sod(n) for n = 1331321414099 and 1331321414108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6395905 + ... + 6600775.

It is an arithmetic number, because the mean of its divisors is an integer number (58840570068).

Almost surely, 2^{1331321414140} is an apocalyptic number.

1331321414140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331321414140 is an abundant number, since it is smaller than the sum of its proper divisors (1493025949124).

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

1331321414140 is a wasteful number, since it uses less digits than its factorization.

1331321414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208198 (or 208196 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1331321414140 its reverse (414141231331), we get a palindrome (1745462645471).

The spelling of 1331321414140 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, four hundred fourteen thousand, one hundred forty".