1331314041033 has 12 divisors (see below), whose sum is σ = 2036127357108. Its totient is φ = 835334300160.

The previous prime is 1331314041023. The next prime is 1331314041143. The reversal of 1331314041033 is 3301404131331.

1331314041033 is a `hidden beast` number, since 1 + 331 + 314 + 0 + 4 + 10 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1156513120569 + 174800920464 = 1075413^2 + 418092^2 .

It is not a de Polignac number, because 1331314041033 - 2¹⁰ = 1331314040009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1331314040988 and 1331314041006.

It is not an unprimeable number, because it can be changed into a prime (1331314041023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4350699328 + ... + 4350699633.

It is an arithmetic number, because the mean of its divisors is an integer number (169677279759).

Almost surely, 2^{1331314041033} is an apocalyptic number.

It is an amenable number.

1331314041033 is a deficient number, since it is larger than the sum of its proper divisors (704813316075).

1331314041033 is a wasteful number, since it uses less digits than its factorization.

1331314041033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8701398984 (or 8701398981 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1331314041033 its reverse (3301404131331), we get a palindrome (4632718172364).

The spelling of 1331314041033 in words is "one trillion, three hundred thirty-one billion, three hundred fourteen million, forty-one thousand, thirty-three".