131003003200 has 168 divisors, whose sum is σ = 330879306744. Its totient is φ = 51019776000.

The previous prime is 131003003179. The next prime is 131003003203. The reversal of 131003003200 is 2300300131.

It can be written as a sum of positive squares in 12 ways, for example, as 45205563456 + 85797439744 = 212616^2 + 292912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003003203) by changing a digit.

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, 37849470 + ... + 37852930.

It is an arithmetic number, because the mean of its divisors is an integer number (1969519683).

Almost surely, 2^131003003200 is an apocalyptic number.

131003003200 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 131003003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165439653372).

131003003200 is an abundant number, since it is smaller than the sum of its proper divisors (199876303544).

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

131003003200 is a wasteful number, since it uses less digits than its factorization.

131003003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 131003003200 its reverse (2300300131), we get a palindrome (133303303331).

The spelling of 131003003200 in words is "one hundred thirty-one billion, three million, three thousand, two hundred".