131011111 has 16 divisors (see below), whose sum is σ = 163784448. Its totient is φ = 101808000.

The previous prime is 131011079. The next prime is 131011123. The reversal of 131011111 is 111110131.

It is not a de Polignac number, because 131011111 - 2⁵ = 131011079 is a prime.

It is a super-2 number, since 2×131011111² = 34327822410908642, which contains 22 as substring.

It is a Duffinian number.

131011111 is a modest number, since divided by 11111 gives 1310 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131015111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28756 + ... + 32998.

It is an arithmetic number, because the mean of its divisors is an integer number (10236528).

Almost surely, 2^131011111 is an apocalyptic number.

131011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131011111 is a deficient number, since it is larger than the sum of its proper divisors (32773337).

131011111 is a wasteful number, since it uses less digits than its factorization.

131011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662.

The product of its (nonzero) digits is 3, while the sum is 10.

The square root of 131011111 is about 11446.0085182565. The cubic root of 131011111 is about 507.8896661924.

Adding to 131011111 its reverse (111110131), we get a palindrome (242121242).

It can be divided in two parts, 1310 and 11111, that added together give a palindrome (12421).

The spelling of 131011111 in words is "one hundred thirty-one million, eleven thousand, one hundred eleven".