1331312541 has 24 divisors (see below), whose sum is σ = 1988434080. Its totient is φ = 791009856.

The previous prime is 1331312531. The next prime is 1331312557. The reversal of 1331312541 is 1452131331.

It is not a de Polignac number, because 1331312541 - 2⁷ = 1331312413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331312531) 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 23 ways as a sum of consecutive naturals, for example, 30571 + ... + 59976.

It is an arithmetic number, because the mean of its divisors is an integer number (82851420).

Almost surely, 2^1331312541 is an apocalyptic number.

It is an amenable number.

1331312541 is a deficient number, since it is larger than the sum of its proper divisors (657121539).

1331312541 is a wasteful number, since it uses less digits than its factorization.

1331312541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90605 (or 90592 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 1331312541 is about 36487.1558359925. The cubic root of 1331312541 is about 1100.0860927107.

Adding to 1331312541 its reverse (1452131331), we get a palindrome (2783443872).

The spelling of 1331312541 in words is "one billion, three hundred thirty-one million, three hundred twelve thousand, five hundred forty-one".