1331320209975 has 240 divisors, whose sum is σ = 2957027690496. Its totient is φ = 579304224000.

The previous prime is 1331320209941. The next prime is 1331320209991. The reversal of 1331320209975 is 5799020231331.

1331320209975 is a `hidden beast` number, since 1 + 3 + 31 + 320 + 209 + 97 + 5 = 666.

It is not a de Polignac number, because 1331320209975 - 2⁹ = 1331320209463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1331320209975.

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 239 ways as a sum of consecutive naturals, for example, 26780092 + ... + 26829758.

Almost surely, 2^{1331320209975} is an apocalyptic number.

1331320209975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1331320209975 is an abundant number, since it is smaller than the sum of its proper divisors (1625707480521).

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

1331320209975 is a wasteful number, since it uses less digits than its factorization.

1331320209975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49788 (or 49774 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 1331320209975 in words is "one trillion, three hundred thirty-one billion, three hundred twenty million, two hundred nine thousand, nine hundred seventy-five".