100033020013 has 4 divisors (see below), whose sum is σ = 101156986620. Its totient is φ = 98909053408.

The previous prime is 100033020011. The next prime is 100033020071. The reversal of 100033020013 is 310020330001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310020330001 = 1667 ⋅185975003.

It can be written as a sum of positive squares in 2 ways, for example, as 30878221284 + 69154798729 = 175722^2 + 262973^2 .

It is a cyclic number.

It is not a de Polignac number, because 100033020013 - 2¹ = 100033020011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100033019975 and 100033020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 561983170 + ... + 561983347.

It is an arithmetic number, because the mean of its divisors is an integer number (25289246655).

Almost surely, 2^100033020013 is an apocalyptic number.

It is an amenable number.

100033020013 is a deficient number, since it is larger than the sum of its proper divisors (1123966607).

100033020013 is an equidigital number, since it uses as much as digits as its factorization.

100033020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123966606.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100033020013 its reverse (310020330001), we get a palindrome (410053350014).

The spelling of 100033020013 in words is "one hundred billion, thirty-three million, twenty thousand, thirteen".