131041100 has 72 divisors (see below), whose sum is σ = 317010960. Its totient is φ = 46725120.

The previous prime is 131041091. The next prime is 131041109. The reversal of 131041100 is 1140131.

It is an interprime number because it is at equal distance from previous prime (131041091) and next prime (131041109).

It is not an unprimeable number, because it can be changed into a prime (131041109) 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, 30272 + ... + 34328.

It is an arithmetic number, because the mean of its divisors is an integer number (4402930).

Almost surely, 2^131041100 is an apocalyptic number.

131041100 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 131041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505480).

131041100 is an abundant number, since it is smaller than the sum of its proper divisors (185969860).

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

131041100 is a wasteful number, since it uses less digits than its factorization.

131041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 131041100 is about 11447.3184632909. The cubic root of 131041100 is about 507.9284159368.

Adding to 131041100 its reverse (1140131), we get a palindrome (132181231).

The spelling of 131041100 in words is "one hundred thirty-one million, forty-one thousand, one hundred".