100313100033 has 16 divisors (see below), whose sum is σ = 135203307456. Its totient is φ = 66152597760.

The previous prime is 100313099923. The next prime is 100313100049. The reversal of 100313100033 is 330001313001.

It is not a de Polignac number, because 100313100033 - 2²⁰ = 100312051457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313099985 and 100313100021.

It is not an unprimeable number, because it can be changed into a prime (100313100073) 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, 314908 + ... + 547533.

It is an arithmetic number, because the mean of its divisors is an integer number (8450206716).

Almost surely, 2^100313100033 is an apocalyptic number.

It is an amenable number.

100313100033 is a deficient number, since it is larger than the sum of its proper divisors (34890207423).

100313100033 is a wasteful number, since it uses less digits than its factorization.

100313100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862864.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 100313100033 its reverse (330001313001), we get a palindrome (430314413034).

The spelling of 100313100033 in words is "one hundred billion, three hundred thirteen million, one hundred thousand, thirty-three".