100100111010133 has 8 divisors (see below), whose sum is σ = 112487081269248. Its totient is φ = 88382706711024.

The previous prime is 100100111010059. The next prime is 100100111010287. The reversal of 100100111010133 is 331010111001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100111010133 - 2³³ = 100091521075541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111011133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167391489685 + ... + 167391490282.

It is an arithmetic number, because the mean of its divisors is an integer number (14060885158656).

Almost surely, 2^{100100111010133} is an apocalyptic number.

100100111010133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100100111010133 is a deficient number, since it is larger than the sum of its proper divisors (12386970259115).

100100111010133 is a wasteful number, since it uses less digits than its factorization.

100100111010133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334782980003.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100100111010133 its reverse (331010111001001), we get a palindrome (431110222011134).

The spelling of 100100111010133 in words is "one hundred trillion, one hundred billion, one hundred eleven million, ten thousand, one hundred thirty-three".