131042000 has 40 divisors (see below), whose sum is σ = 316864392. Its totient is φ = 52416000.

The previous prime is 131041973. The next prime is 131042003. The reversal of 131042000 is 240131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3984016 + 127057984 = 1996^2 + 11272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131042003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30761 + ... + 34760.

Almost surely, 2^131042000 is an apocalyptic number.

131042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131042000 is an abundant number, since it is smaller than the sum of its proper divisors (185822392).

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

131042000 is an equidigital number, since it uses as much as digits as its factorization.

131042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65544 (or 65528 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 131042000 is about 11447.3577737398. The cubic root of 131042000 is about 507.9295787642.

Adding to 131042000 its reverse (240131), we get a palindrome (131282131).

The spelling of 131042000 in words is "one hundred thirty-one million, forty-two thousand".