131350415345505 has 48 divisors (see below), whose sum is σ = 231535868204160. Its totient is φ = 68865334182144.

The previous prime is 131350415345473. The next prime is 131350415345519. The reversal of 131350415345505 is 505543514053131.

131350415345505 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 0 + 41 + 53 + 4 + 550 + 5 = 666.

It is not a de Polignac number, because 131350415345505 - 2⁵ = 131350415345473 is a prime.

It is a super-2 number, since 2×131350415345505² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245710789 + ... + 246244781.

It is an arithmetic number, because the mean of its divisors is an integer number (4823663920920).

Almost surely, 2^{131350415345505} is an apocalyptic number.

131350415345505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131350415345505 is a deficient number, since it is larger than the sum of its proper divisors (100185452858655).

131350415345505 is a wasteful number, since it uses less digits than its factorization.

131350415345505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626710 (or 626707 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

Adding to 131350415345505 its reverse (505543514053131), we get a palindrome (636893929398636).

The spelling of 131350415345505 in words is "one hundred thirty-one trillion, three hundred fifty billion, four hundred fifteen million, three hundred forty-five thousand, five hundred five".