103133003000321 has 16 divisors (see below), whose sum is σ = 124801131651840. Its totient is φ = 83198712591360.

The previous prime is 103133003000317. The next prime is 103133003000341. The reversal of 103133003000321 is 123000300331301.

It is a cyclic number.

It is not a de Polignac number, because 103133003000321 - 2² = 103133003000317 is a prime.

It is a super-2 number, since 2×103133003000321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103133003000293 and 103133003000302.

It is not an unprimeable number, because it can be changed into a prime (103133003000341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4497116 + ... + 15049586.

It is an arithmetic number, because the mean of its divisors is an integer number (7800070728240).

Almost surely, 2^{103133003000321} is an apocalyptic number.

It is an amenable number.

103133003000321 is a deficient number, since it is larger than the sum of its proper divisors (21668128651519).

103133003000321 is a wasteful number, since it uses less digits than its factorization.

103133003000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634624.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 103133003000321 its reverse (123000300331301), we get a palindrome (226133303331622).

The spelling of 103133003000321 in words is "one hundred three trillion, one hundred thirty-three billion, three million, three hundred twenty-one", and thus it is an aban number.