100333003304137 has 2 divisors, whose sum is σ = 100333003304138. Its totient is φ = 100333003304136.

The previous prime is 100333003304129. The next prime is 100333003304179. The reversal of 100333003304137 is 731403300333001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76345234355776 + 23987768948361 = 8737576^2 + 4897731^2 .

It is a cyclic number.

It is not a de Polignac number, because 100333003304137 - 2³ = 100333003304129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100333003304099 and 100333003304108.

It is not a weakly prime, because it can be changed into another prime (100333003304197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166501652068 + 50166501652069.

It is an arithmetic number, because the mean of its divisors is an integer number (50166501652069).

Almost surely, 2^{100333003304137} is an apocalyptic number.

It is an amenable number.

100333003304137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333003304137 is an equidigital number, since it uses as much as digits as its factorization.

100333003304137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20412, while the sum is 31.

Adding to 100333003304137 its reverse (731403300333001), we get a palindrome (831736303637138).

The spelling of 100333003304137 in words is "one hundred trillion, three hundred thirty-three billion, three million, three hundred four thousand, one hundred thirty-seven".