131609328399 has 48 divisors (see below), whose sum is σ = 200383305408. Its totient is φ = 83076297216.

The previous prime is 131609328377. The next prime is 131609328401. The reversal of 131609328399 is 993823906131.

It is a happy number.

131609328399 is a `hidden beast` number, since 1 + 3 + 1 + 609 + 3 + 28 + 3 + 9 + 9 = 666.

It is a Cunningham number, because it is equal to 362780²-1.

It is a de Polignac number, because none of the positive numbers 2^k-131609328399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131609328359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8336077 + ... + 8351849.

It is an arithmetic number, because the mean of its divisors is an integer number (4174652196).

Almost surely, 2^131609328399 is an apocalyptic number.

131609328399 is a deficient number, since it is larger than the sum of its proper divisors (68773977009).

131609328399 is a wasteful number, since it uses less digits than its factorization.

131609328399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16208 (or 16205 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 131609328399 in words is "one hundred thirty-one billion, six hundred nine million, three hundred twenty-eight thousand, three hundred ninety-nine".