100000133311 has 32 divisors (see below), whose sum is σ = 118020490560. Its totient is φ = 83838633984.

The previous prime is 100000133287. The next prime is 100000133323. The reversal of 100000133311 is 113331000001.

It is a happy number.

It is not a de Polignac number, because 100000133311 - 2¹³ = 100000125119 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 junction number, because it is equal to n+sod(n) for n = 100000133291 and 100000133300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000133341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20269201 + ... + 20274133.

It is an arithmetic number, because the mean of its divisors is an integer number (3688140330).

Almost surely, 2^100000133311 is an apocalyptic number.

100000133311 is a deficient number, since it is larger than the sum of its proper divisors (18020357249).

100000133311 is a wasteful number, since it uses less digits than its factorization.

100000133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155.

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

Adding to 100000133311 its reverse (113331000001), we get a palindrome (213331133312).

The spelling of 100000133311 in words is "one hundred billion, one hundred thirty-three thousand, three hundred eleven".