100011132311 has 8 divisors (see below), whose sum is σ = 106655970960. Its totient is φ = 93450941568.

The previous prime is 100011132293. The next prime is 100011132437. The reversal of 100011132311 is 113231110001.

It is a happy number.

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 100011132311 - 2²⁶ = 99944023447 is a prime.

It is a super-2 number, since 2×100011132311² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011132511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21159536 + ... + 21164261.

It is an arithmetic number, because the mean of its divisors is an integer number (13331996370).

Almost surely, 2^100011132311 is an apocalyptic number.

100011132311 is a deficient number, since it is larger than the sum of its proper divisors (6644838649).

100011132311 is a wasteful number, since it uses less digits than its factorization.

100011132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42323953.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100011132311 its reverse (113231110001), we get a palindrome (213242242312).

It can be divided in two parts, 10001 and 1132311, that multiplied together give a palindrome (11324242311).

The spelling of 100011132311 in words is "one hundred billion, eleven million, one hundred thirty-two thousand, three hundred eleven".