131564353345 has 8 divisors (see below), whose sum is σ = 157880515176. Its totient is φ = 105249288576.

The previous prime is 131564353337. The next prime is 131564353373. The reversal of 131564353345 is 543353465131.

It can be written as a sum of positive squares in 4 ways, for example, as 38992031296 + 92572322049 = 197464^2 + 304257^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131564353345 - 2³ = 131564353337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17859 + ... + 513271.

It is an arithmetic number, because the mean of its divisors is an integer number (19735064397).

Almost surely, 2^131564353345 is an apocalyptic number.

It is an amenable number.

131564353345 is a deficient number, since it is larger than the sum of its proper divisors (26316161831).

131564353345 is an equidigital number, since it uses as much as digits as its factorization.

131564353345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548531.

The product of its digits is 972000, while the sum is 43.

The spelling of 131564353345 in words is "one hundred thirty-one billion, five hundred sixty-four million, three hundred fifty-three thousand, three hundred forty-five".