131413635564353 has 8 divisors (see below), whose sum is σ = 131819558142888. Its totient is φ = 131007903076864.

The previous prime is 131413635564331. The next prime is 131413635564371. The reversal of 131413635564353 is 353465536314131.

It can be written as a sum of positive squares in 4 ways, for example, as 76473415928464 + 54940219635889 = 8744908^2 + 7412167^2 .

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 131413635564353 - 2³² = 131409340597057 is a prime.

It is a super-2 number, since 2×131413635564353² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131413635564295 and 131413635564304.

It is not an unprimeable number, because it can be changed into a prime (131413635564313) 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, 46137926 + ... + 48903327.

It is an arithmetic number, because the mean of its divisors is an integer number (16477444767861).

Almost surely, 2^{131413635564353} is an apocalyptic number.

It is an amenable number.

131413635564353 is a deficient number, since it is larger than the sum of its proper divisors (405922578535).

131413635564353 is an equidigital number, since it uses as much as digits as its factorization.

131413635564353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95045523.

The product of its digits is 17496000, while the sum is 53.

The spelling of 131413635564353 in words is "one hundred thirty-one trillion, four hundred thirteen billion, six hundred thirty-five million, five hundred sixty-four thousand, three hundred fifty-three".