131033332008 has 48 divisors (see below), whose sum is σ = 355042158900. Its totient is φ = 43658058240.

The previous prime is 131033331971. The next prime is 131033332009. The reversal of 131033332008 is 800233330131.

131033332008 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 333 + 320 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113327836164 + 17705495844 = 336642^2 + 133062^2 .

It is not an unprimeable number, because it can be changed into a prime (131033332009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249793 + ... + 569616.

Almost surely, 2^131033332008 is an apocalyptic number.

131033332008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131033332008 is an abundant number, since it is smaller than the sum of its proper divisors (224008826892).

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

131033332008 is a wasteful number, since it uses less digits than its factorization.

131033332008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821642 (or 821635 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131033332008 its reverse (800233330131), we get a palindrome (931266662139).

It can be divided in two parts, 1310333 and 32008, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 131033332008 in words is "one hundred thirty-one billion, thirty-three million, three hundred thirty-two thousand, eight".