131114100 has 72 divisors (see below), whose sum is σ = 408550240. Its totient is φ = 32273280.

The previous prime is 131114077. The next prime is 131114111. The reversal of 131114100 is 1411131.

It is a super-3 number, since 3×131114100³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12910 + ... + 20709.

Almost surely, 2^131114100 is an apocalyptic number.

131114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131114100 is an abundant number, since it is smaller than the sum of its proper divisors (277436140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131114100 is a wasteful number, since it uses less digits than its factorization.

131114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33649 (or 33642 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 131114100 is about 11450.5065390139. The cubic root of 131114100 is about 508.0227168629.

Adding to 131114100 its reverse (1411131), we get a palindrome (132525231).

The spelling of 131114100 in words is "one hundred thirty-one million, one hundred fourteen thousand, one hundred".