131534221400505 has 96 divisors (see below), whose sum is σ = 284409478529280. Its totient is φ = 54633014576640.

The previous prime is 131534221400489. The next prime is 131534221400513. The reversal of 131534221400505 is 505004122435131.

131534221400505 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 4 + 2 + 2 + 140 + 0 + 505 = 666.

It is not a de Polignac number, because 131534221400505 - 2⁴ = 131534221400489 is a prime.

It is a super-2 number, since 2×131534221400505² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131534221400505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4410622 + ... + 16808391.

It is an arithmetic number, because the mean of its divisors is an integer number (2962598734680).

Almost surely, 2^{131534221400505} is an apocalyptic number.

131534221400505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131534221400505 is an abundant number, since it is smaller than the sum of its proper divisors (152875257128775).

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

131534221400505 is a wasteful number, since it uses less digits than its factorization.

131534221400505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21220831 (or 21220828 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 131534221400505 its reverse (505004122435131), we get a palindrome (636538343835636).

The spelling of 131534221400505 in words is "one hundred thirty-one trillion, five hundred thirty-four billion, two hundred twenty-one million, four hundred thousand, five hundred five".