1320330242133 has 64 divisors (see below), whose sum is σ = 2281832017920. Its totient is φ = 738882720576.

The previous prime is 1320330242053. The next prime is 1320330242197. The reversal of 1320330242133 is 3312420330231.

1320330242133 is a `hidden beast` number, since 1 + 3 + 203 + 3 + 0 + 2 + 421 + 33 = 666.

It is not a de Polignac number, because 1320330242133 - 2⁹ = 1320330241621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1320330242097 and 1320330242106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320330240133) 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 63 ways as a sum of consecutive naturals, for example, 5358816 + ... + 5599782.

It is an arithmetic number, because the mean of its divisors is an integer number (35653625280).

Almost surely, 2^{1320330242133} is an apocalyptic number.

It is an amenable number.

1320330242133 is a deficient number, since it is larger than the sum of its proper divisors (961501775787).

1320330242133 is a wasteful number, since it uses less digits than its factorization.

1320330242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241583 (or 241577 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1320330242133 its reverse (3312420330231), we get a palindrome (4632750572364).

The spelling of 1320330242133 in words is "one trillion, three hundred twenty billion, three hundred thirty million, two hundred forty-two thousand, one hundred thirty-three".