103133123130001 has 8 divisors (see below), whose sum is σ = 105649531533000. Its totient is φ = 100616760744960.

The previous prime is 103133123129999. The next prime is 103133123130007. The reversal of 103133123130001 is 100031321331301.

It can be written as a sum of positive squares in 4 ways, for example, as 1525412725776 + 101607710404225 = 1235076^2 + 10080065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103133123130001 - 2¹ = 103133123129999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103133123130007) 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 7 ways as a sum of consecutive naturals, for example, 6945736 + ... + 15953353.

It is an arithmetic number, because the mean of its divisors is an integer number (13206191441625).

Almost surely, 2^{103133123130001} is an apocalyptic number.

It is an amenable number.

103133123130001 is a deficient number, since it is larger than the sum of its proper divisors (2516408402999).

103133123130001 is a wasteful number, since it uses less digits than its factorization.

103133123130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23008979.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 103133123130001 its reverse (100031321331301), we get a palindrome (203164444461302).

The spelling of 103133123130001 in words is "one hundred three trillion, one hundred thirty-three billion, one hundred twenty-three million, one hundred thirty thousand, one".