100133013013 has 16 divisors (see below), whose sum is σ = 112387864896. Its totient is φ = 88412221440.

The previous prime is 100133013007. The next prime is 100133013047. The reversal of 100133013013 is 310310331001.

It is a cyclic number.

It is not a de Polignac number, because 100133013013 - 2⁵ = 100133012981 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 (100133013613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10645 + ... + 447637.

It is an arithmetic number, because the mean of its divisors is an integer number (7024241556).

Almost surely, 2^100133013013 is an apocalyptic number.

It is an amenable number.

100133013013 is a deficient number, since it is larger than the sum of its proper divisors (12254851883).

100133013013 is a wasteful number, since it uses less digits than its factorization.

100133013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437604.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100133013013 its reverse (310310331001), we get a palindrome (410443344014).

The spelling of 100133013013 in words is "one hundred billion, one hundred thirty-three million, thirteen thousand, thirteen".