131535304461 has 32 divisors (see below), whose sum is σ = 212602665600. Its totient is φ = 79710733440.

The previous prime is 131535304457. The next prime is 131535304469. The reversal of 131535304461 is 164403535131.

131535304461 is a `hidden beast` number, since 1 + 31 + 53 + 530 + 4 + 46 + 1 = 666.

It is not a de Polignac number, because 131535304461 - 2² = 131535304457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131535304469) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5517355 + ... + 5541143.

It is an arithmetic number, because the mean of its divisors is an integer number (6643833300).

Almost surely, 2^131535304461 is an apocalyptic number.

131535304461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131535304461 is a deficient number, since it is larger than the sum of its proper divisors (81067361139).

131535304461 is a wasteful number, since it uses less digits than its factorization.

131535304461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42426 (or 42420 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 131535304461 its reverse (164403535131), we get a palindrome (295938839592).

The spelling of 131535304461 in words is "one hundred thirty-one billion, five hundred thirty-five million, three hundred four thousand, four hundred sixty-one".