100103123132233 has 8 divisors (see below), whose sum is σ = 109014637120200. Its totient is φ = 91364648251008.

The previous prime is 100103123132203. The next prime is 100103123132273. The reversal of 100103123132233 is 332231321301001.

It can be written as a sum of positive squares in 4 ways, for example, as 3910711912704 + 96192411219529 = 1977552^2 + 9807773^2 .

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

It is not a de Polignac number, because 100103123132233 - 2¹³ = 100103123124041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100103123132198 and 100103123132207.

It is not an unprimeable number, because it can be changed into a prime (100103123132203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43259775478 + ... + 43259777791.

It is an arithmetic number, because the mean of its divisors is an integer number (13626829640025).

Almost surely, 2^{100103123132233} is an apocalyptic number.

100103123132233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100103123132233 is a deficient number, since it is larger than the sum of its proper divisors (8911513987967).

100103123132233 is an equidigital number, since it uses as much as digits as its factorization.

100103123132233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86519553371.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 100103123132233 its reverse (332231321301001), we get a palindrome (432334444433234).

The spelling of 100103123132233 in words is "one hundred trillion, one hundred three billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred thirty-three".