1320103656333 has 288 divisors, whose sum is σ = 2601920921600. Its totient is φ = 629192551680.

The previous prime is 1320103656283. The next prime is 1320103656397. The reversal of 1320103656333 is 3336563010231.

1320103656333 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 10 + 3 + 6 + 5 + 633 + 3 = 666.

It is not a de Polignac number, because 1320103656333 - 2¹² = 1320103652237 is a prime.

It is a super-4 number, since 4×1320103656333⁴ (a number of 50 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320103651333) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 790954023 + ... + 790955691.

Almost surely, 2^{1320103656333} is an apocalyptic number.

It is an amenable number.

1320103656333 is a deficient number, since it is larger than the sum of its proper divisors (1281817265267).

1320103656333 is a wasteful number, since it uses less digits than its factorization.

1320103656333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

Adding to 1320103656333 its reverse (3336563010231), we get a palindrome (4656666666564).

The spelling of 1320103656333 in words is "one trillion, three hundred twenty billion, one hundred three million, six hundred fifty-six thousand, three hundred thirty-three".