100133203113 has 6 divisors (see below), whose sum is σ = 144636848954. Its totient is φ = 66755468736.

The previous prime is 100133203099. The next prime is 100133203139. The reversal of 100133203113 is 311302331001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 73161053289 + 26972149824 = 270483^2 + 164232^2 .

It is not a de Polignac number, because 100133203113 - 2¹⁴ = 100133186729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133203613) 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 5 ways as a sum of consecutive naturals, for example, 5562955720 + ... + 5562955737.

Almost surely, 2^100133203113 is an apocalyptic number.

It is an amenable number.

100133203113 is a deficient number, since it is larger than the sum of its proper divisors (44503645841).

100133203113 is a wasteful number, since it uses less digits than its factorization.

100133203113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125911463 (or 11125911460 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100133203113 its reverse (311302331001), we get a palindrome (411435534114).

The spelling of 100133203113 in words is "one hundred billion, one hundred thirty-three million, two hundred three thousand, one hundred thirteen".