131411100 has 72 divisors (see below), whose sum is σ = 384069168. Its totient is φ = 34688000.

The previous prime is 131411099. The next prime is 131411117. The reversal of 131411100 is 1114131.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28132 + ... + 32468.

It is an arithmetic number, because the mean of its divisors is an integer number (5334294).

Almost surely, 2^131411100 is an apocalyptic number.

131411100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192034584).

131411100 is an abundant number, since it is smaller than the sum of its proper divisors (252658068).

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

131411100 is a wasteful number, since it uses less digits than its factorization.

131411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4448 counting only the distinct ones).

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

The square root of 131411100 is about 11463.4680616295. The cubic root of 131411100 is about 508.4060190488.

Adding to 131411100 its reverse (1114131), we get a palindrome (132525231).

It can be divided in two parts, 13141 and 1100, that added together give a palindrome (14241).

The spelling of 131411100 in words is "one hundred thirty-one million, four hundred eleven thousand, one hundred".