100132112311 has 32 divisors (see below), whose sum is σ = 130964014080. Its totient is φ = 74273337600.

The previous prime is 100132112299. The next prime is 100132112317. The reversal of 100132112311 is 113211231001.

It is a happy number.

It is not a de Polignac number, because 100132112311 - 2⁷ = 100132112183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132112317) 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, 157246 + ... + 474331.

It is an arithmetic number, because the mean of its divisors is an integer number (4092625440).

Almost surely, 2^100132112311 is an apocalyptic number.

100132112311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100132112311 is a deficient number, since it is larger than the sum of its proper divisors (30831901769).

100132112311 is a wasteful number, since it uses less digits than its factorization.

100132112311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631695.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100132112311 its reverse (113211231001), we get a palindrome (213343343312).

The spelling of 100132112311 in words is "one hundred billion, one hundred thirty-two million, one hundred twelve thousand, three hundred eleven".