100013100133 has 4 divisors (see below), whose sum is σ = 100078427008. Its totient is φ = 99947773260.

The previous prime is 100013100119. The next prime is 100013100167. The reversal of 100013100133 is 331001310001.

It is a happy number.

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: 331001310001 = 19 ⋅17421121579.

It is a cyclic number.

It is not a de Polignac number, because 100013100133 - 2³³ = 91423165541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013100533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32661141 + ... + 32664202.

It is an arithmetic number, because the mean of its divisors is an integer number (25019606752).

Almost surely, 2^100013100133 is an apocalyptic number.

It is an amenable number.

100013100133 is a deficient number, since it is larger than the sum of its proper divisors (65326875).

100013100133 is an equidigital number, since it uses as much as digits as its factorization.

100013100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65326874.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100013100133 its reverse (331001310001), we get a palindrome (431014410134).

The spelling of 100013100133 in words is "one hundred billion, thirteen million, one hundred thousand, one hundred thirty-three".