100100011311 has 12 divisors (see below), whose sum is σ = 144918270640. Its totient is φ = 66581326080.

The previous prime is 100100011309. The next prime is 100100011379. The reversal of 100100011311 is 113110001001.

It is not a de Polignac number, because 100100011311 - 2¹ = 100100011309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100011293 and 100100011302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100011411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12663730 + ... + 12671631.

Almost surely, 2^100100011311 is an apocalyptic number.

100100011311 is a deficient number, since it is larger than the sum of its proper divisors (44818259329).

100100011311 is a wasteful number, since it uses less digits than its factorization.

100100011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25335806 (or 25335803 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100100011311 its reverse (113110001001), we get a palindrome (213210012312).

The spelling of 100100011311 in words is "one hundred billion, one hundred million, eleven thousand, three hundred eleven".