103313201133321 has 48 divisors (see below), whose sum is σ = 150197328048768. Its totient is φ = 68430495168000.

The previous prime is 103313201133229. The next prime is 103313201133343. The reversal of 103313201133321 is 123331102313301.

103313201133321 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 3 + 201 + 133 + 321 = 666.

It is not a de Polignac number, because 103313201133321 - 2²¹ = 103313199036169 is a prime.

It is a super-4 number, since 4×103313201133321⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (103313201132321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4760746771 + ... + 4760768471.

It is an arithmetic number, because the mean of its divisors is an integer number (3129111001016).

Almost surely, 2^{103313201133321} is an apocalyptic number.

It is an amenable number.

103313201133321 is a deficient number, since it is larger than the sum of its proper divisors (46884126915447).

103313201133321 is a wasteful number, since it uses less digits than its factorization.

103313201133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26942 (or 26939 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 103313201133321 its reverse (123331102313301), we get a palindrome (226644303446622).

The spelling of 103313201133321 in words is "one hundred three trillion, three hundred thirteen billion, two hundred one million, one hundred thirty-three thousand, three hundred twenty-one".