1331352255321 has 36 divisors (see below), whose sum is σ = 2118803084580. Its totient is φ = 804963297600.

The previous prime is 1331352255293. The next prime is 1331352255361. The reversal of 1331352255321 is 1235522531331.

1331352255321 is a `hidden beast` number, since 1 + 3 + 31 + 3 + 52 + 2 + 553 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 333201399696 + 998150855625 = 577236^2 + 999075^2 .

It is not a de Polignac number, because 1331352255321 - 2⁶ = 1331352255257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331352255361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 993486 + ... + 1910423.

Almost surely, 2^{1331352255321} is an apocalyptic number.

1331352255321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331352255321 is a deficient number, since it is larger than the sum of its proper divisors (787450829259).

1331352255321 is a wasteful number, since it uses less digits than its factorization.

1331352255321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904358 (or 2904344 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

Adding to 1331352255321 its reverse (1235522531331), we get a palindrome (2566874786652).

The spelling of 1331352255321 in words is "one trillion, three hundred thirty-one billion, three hundred fifty-two million, two hundred fifty-five thousand, three hundred twenty-one".