131041008 has 120 divisors (see below), whose sum is σ = 425258496. Its totient is φ = 36892800.

The previous prime is 131041007. The next prime is 131041021. The reversal of 131041008 is 800140131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041007) 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, 70653 + ... + 72483.

Almost surely, 2^131041008 is an apocalyptic number.

131041008 is a gapful number since it is divisible by the number (18) 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 131041008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212629248).

131041008 is an abundant number, since it is smaller than the sum of its proper divisors (294217488).

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

131041008 is a wasteful number, since it uses less digits than its factorization.

131041008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 131041008 is about 11447.3144448818. The cubic root of 131041008 is about 507.9282970697.

Adding to 131041008 its reverse (800140131), we get a palindrome (931181139).

The spelling of 131041008 in words is "one hundred thirty-one million, forty-one thousand, eight".