100332111311 has 16 divisors (see below), whose sum is σ = 101802067584. Its totient is φ = 98871819264.

The previous prime is 100332111287. The next prime is 100332111367. The reversal of 100332111311 is 113111233001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100332111311 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100332111311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332111611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43754681 + ... + 43756973.

It is an arithmetic number, because the mean of its divisors is an integer number (6362629224).

Almost surely, 2^100332111311 is an apocalyptic number.

100332111311 is a deficient number, since it is larger than the sum of its proper divisors (1469956273).

100332111311 is a wasteful number, since it uses less digits than its factorization.

100332111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100332111311 its reverse (113111233001), we get a palindrome (213443344312).

The spelling of 100332111311 in words is "one hundred billion, three hundred thirty-two million, one hundred eleven thousand, three hundred eleven".