103133133003321 has 12 divisors (see below), whose sum is σ = 154106980350180. Its totient is φ = 66384545381280.

The previous prime is 103133133003259. The next prime is 103133133003337. The reversal of 103133133003321 is 123300331331301.

103133133003321 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 3 + 1 + 330 + 0 + 3 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62970747738921 + 40162385264400 = 7935411^2 + 6337380^2 .

It is not a de Polignac number, because 103133133003321 - 2¹⁴ = 103133132986937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103133133002321) 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, 197573051470 + ... + 197573051991.

It is an arithmetic number, because the mean of its divisors is an integer number (12842248362515).

Almost surely, 2^{103133133003321} is an apocalyptic number.

It is an amenable number.

103133133003321 is a deficient number, since it is larger than the sum of its proper divisors (50973847346859).

103133133003321 is a wasteful number, since it uses less digits than its factorization.

103133133003321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395146103496 (or 395146103493 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 103133133003321 its reverse (123300331331301), we get a palindrome (226433464334622).

The spelling of 103133133003321 in words is "one hundred three trillion, one hundred thirty-three billion, one hundred thirty-three million, three thousand, three hundred twenty-one".