131111312211 has 24 divisors (see below), whose sum is σ = 206623360944. Its totient is φ = 79452279360.

The previous prime is 131111312197. The next prime is 131111312263. The reversal of 131111312211 is 112213111131.

131111312211 is a `hidden beast` number, since 1 + 31 + 111 + 312 + 211 = 666.

It is not a de Polignac number, because 131111312211 - 2⁶ = 131111312147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131111312281) 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 23 ways as a sum of consecutive naturals, for example, 847045 + ... + 989801.

It is an arithmetic number, because the mean of its divisors is an integer number (8609306706).

Almost surely, 2^131111312211 is an apocalyptic number.

131111312211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131111312211 is a deficient number, since it is larger than the sum of its proper divisors (75512048733).

131111312211 is a wasteful number, since it uses less digits than its factorization.

131111312211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152051 (or 152048 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 131111312211 its reverse (112213111131), we get a palindrome (243324423342).

The spelling of 131111312211 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred twelve thousand, two hundred eleven".