100133033313 has 4 divisors (see below), whose sum is σ = 133510711088. Its totient is φ = 66755355540.

The previous prime is 100133033311. The next prime is 100133033317. The reversal of 100133033313 is 313330331001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 313330331001 = 3 ⋅104443443667.

It is not a de Polignac number, because 100133033313 - 2¹ = 100133033311 is a prime.

It is a super-3 number, since 3×100133033313³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100133033313.

It is not an unprimeable number, because it can be changed into a prime (100133033311) 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 3 ways as a sum of consecutive naturals, for example, 16688838883 + ... + 16688838888.

It is an arithmetic number, because the mean of its divisors is an integer number (33377677772).

Almost surely, 2^100133033313 is an apocalyptic number.

It is an amenable number.

100133033313 is a deficient number, since it is larger than the sum of its proper divisors (33377677775).

100133033313 is an equidigital number, since it uses as much as digits as its factorization.

100133033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33377677774.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 100133033313 its reverse (313330331001), we get a palindrome (413463364314).

The spelling of 100133033313 in words is "one hundred billion, one hundred thirty-three million, thirty-three thousand, three hundred thirteen".