100133122113 has 6 divisors (see below), whose sum is σ = 144636731954. Its totient is φ = 66755414736.

The previous prime is 100133122043. The next prime is 100133122127. The reversal of 100133122113 is 311221331001.

100133122113 is a `hidden beast` number, since 100 + 1 + 331 + 221 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83421613584 + 16711508529 = 288828^2 + 129273^2 .

It is not a de Polignac number, because 100133122113 - 2¹³ = 100133113921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133122153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562951220 + ... + 5562951237.

Almost surely, 2^100133122113 is an apocalyptic number.

It is an amenable number.

100133122113 is a deficient number, since it is larger than the sum of its proper divisors (44503609841).

100133122113 is a wasteful number, since it uses less digits than its factorization.

100133122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11125902463 (or 11125902460 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100133122113 its reverse (311221331001), we get a palindrome (411354453114).

The spelling of 100133122113 in words is "one hundred billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred thirteen".