131010111 has 24 divisors (see below), whose sum is σ = 200195840. Its totient is φ = 82328400.

The previous prime is 131010091. The next prime is 131010133. The reversal of 131010111 is 111010131.

It is not a de Polignac number, because 131010111 - 2⁵ = 131010079 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 zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 131010093 and 131010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34266 + ... + 37896.

Almost surely, 2^131010111 is an apocalyptic number.

131010111 is a deficient number, since it is larger than the sum of its proper divisors (69185729).

131010111 is a wasteful number, since it uses less digits than its factorization.

131010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3864 counting only the distinct ones).

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

The square root of 131010111 is about 11445.9648348228. The cubic root of 131010111 is about 507.8883739586. Note that the first 3 decimals are identical.

Adding to 131010111 its reverse (111010131), we get a palindrome (242020242).

The spelling of 131010111 in words is "one hundred thirty-one million, ten thousand, one hundred eleven".